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Finding the Fourth Proportional to 554.76, 765.86 and 430.14

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Solution

The fourth proportional to 554.76, 765.86 and 430.14 is: 593.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.76 : 765.86 = 430.14 : x
  2. Step 2: Convert to fraction form
    554.76/765.86 = 430.14/x
  3. Step 3: Cross multiply
    554.76x = 765.86 × 430.14
  4. Step 4: Simplify right side
    554.76x = 329,428.10
  5. Step 5: Solve for x
    x = 329,428.10/554.76
  6. Step 6: Final answer
    x = 593.82

Related Problems

Find fourth proportional to 277.38, 382.93 and 215.07
Half scale
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Double scale
Find fourth proportional to 555.76, 767.24 and 431.14
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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.