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Finding the Fourth Proportional to 957.10, 1,432.41 and 572.62

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Solution

The fourth proportional to 957.10, 1,432.41 and 572.62 is: 856.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.10 : 1,432.41 = 572.62 : x
  2. Step 2: Convert to fraction form
    957.10/1,432.41 = 572.62/x
  3. Step 3: Cross multiply
    957.10x = 1,432.41 × 572.62
  4. Step 4: Simplify right side
    957.10x = 820,226.61
  5. Step 5: Solve for x
    x = 820,226.61/957.10
  6. Step 6: Final answer
    x = 856.99

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