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Finding the Fourth Proportional to 555.39, 766.46 and 342.75

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Solution

The fourth proportional to 555.39, 766.46 and 342.75 is: 473.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.39 : 766.46 = 342.75 : x
  2. Step 2: Convert to fraction form
    555.39/766.46 = 342.75/x
  3. Step 3: Cross multiply
    555.39x = 766.46 × 342.75
  4. Step 4: Simplify right side
    555.39x = 262,704.17
  5. Step 5: Solve for x
    x = 262,704.17/555.39
  6. Step 6: Final answer
    x = 473.01

Related Problems

Find fourth proportional to 277.70, 383.23 and 171.38
Half scale
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Double scale
Find fourth proportional to 556.39, 767.84 and 343.75
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.