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Finding the Fourth Proportional to 770.46, 1,063.08 and 508.92

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Solution

The fourth proportional to 770.46, 1,063.08 and 508.92 is: 702.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.46 : 1,063.08 = 508.92 : x
  2. Step 2: Convert to fraction form
    770.46/1,063.08 = 508.92/x
  3. Step 3: Cross multiply
    770.46x = 1,063.08 × 508.92
  4. Step 4: Simplify right side
    770.46x = 541,022.67
  5. Step 5: Solve for x
    x = 541,022.67/770.46
  6. Step 6: Final answer
    x = 702.21

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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.