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Finding the Fourth Proportional to 708.32, 1,061.64 and 433.78

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Solution

The fourth proportional to 708.32, 1,061.64 and 433.78 is: 650.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.32 : 1,061.64 = 433.78 : x
  2. Step 2: Convert to fraction form
    708.32/1,061.64 = 433.78/x
  3. Step 3: Cross multiply
    708.32x = 1,061.64 × 433.78
  4. Step 4: Simplify right side
    708.32x = 460,515.55
  5. Step 5: Solve for x
    x = 460,515.55/708.32
  6. Step 6: Final answer
    x = 650.15

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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.