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Finding the Fourth Proportional to 509.04, 702.16 and 331.92

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Solution

The fourth proportional to 509.04, 702.16 and 331.92 is: 457.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.04 : 702.16 = 331.92 : x
  2. Step 2: Convert to fraction form
    509.04/702.16 = 331.92/x
  3. Step 3: Cross multiply
    509.04x = 702.16 × 331.92
  4. Step 4: Simplify right side
    509.04x = 233,060.95
  5. Step 5: Solve for x
    x = 233,060.95/509.04
  6. Step 6: Final answer
    x = 457.84

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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.