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Finding the Fourth Proportional to 557.68, 836.56 and 284.32

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Solution

The fourth proportional to 557.68, 836.56 and 284.32 is: 426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.68 : 836.56 = 284.32 : x
  2. Step 2: Convert to fraction form
    557.68/836.56 = 284.32/x
  3. Step 3: Cross multiply
    557.68x = 836.56 × 284.32
  4. Step 4: Simplify right side
    557.68x = 237,850.74
  5. Step 5: Solve for x
    x = 237,850.74/557.68
  6. Step 6: Final answer
    x = 426.50

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Double scale
Find fourth proportional to 558.68, 838.06 and 285.32
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.