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Finding the Fourth Proportional to 524.04, 782.30 and 431.70

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Solution

The fourth proportional to 524.04, 782.30 and 431.70 is: 644.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.04 : 782.30 = 431.70 : x
  2. Step 2: Convert to fraction form
    524.04/782.30 = 431.70/x
  3. Step 3: Cross multiply
    524.04x = 782.30 × 431.70
  4. Step 4: Simplify right side
    524.04x = 337,718.91
  5. Step 5: Solve for x
    x = 337,718.91/524.04
  6. Step 6: Final answer
    x = 644.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.