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Finding the Fourth Proportional to 709.31, 1,064.15 and 505.18

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Solution

The fourth proportional to 709.31, 1,064.15 and 505.18 is: 757.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.31 : 1,064.15 = 505.18 : x
  2. Step 2: Convert to fraction form
    709.31/1,064.15 = 505.18/x
  3. Step 3: Cross multiply
    709.31x = 1,064.15 × 505.18
  4. Step 4: Simplify right side
    709.31x = 537,579.45
  5. Step 5: Solve for x
    x = 537,579.45/709.31
  6. Step 6: Final answer
    x = 757.90

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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.