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Finding the Fourth Proportional to 539.40, 744.24 and 342.75

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Solution

The fourth proportional to 539.40, 744.24 and 342.75 is: 472.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.40 : 744.24 = 342.75 : x
  2. Step 2: Convert to fraction form
    539.40/744.24 = 342.75/x
  3. Step 3: Cross multiply
    539.40x = 744.24 × 342.75
  4. Step 4: Simplify right side
    539.40x = 255,088.26
  5. Step 5: Solve for x
    x = 255,088.26/539.40
  6. Step 6: Final answer
    x = 472.91

Related Problems

Find fourth proportional to 269.70, 372.12 and 171.38
Half scale
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Double scale
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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.