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Finding the Fourth Proportional to 770.87, 1,064.30 and 476.31

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Solution

The fourth proportional to 770.87, 1,064.30 and 476.31 is: 657.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.87 : 1,064.30 = 476.31 : x
  2. Step 2: Convert to fraction form
    770.87/1,064.30 = 476.31/x
  3. Step 3: Cross multiply
    770.87x = 1,064.30 × 476.31
  4. Step 4: Simplify right side
    770.87x = 506,934.35
  5. Step 5: Solve for x
    x = 506,934.35/770.87
  6. Step 6: Final answer
    x = 657.61

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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.