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Finding the Fourth Proportional to 765.46, 1,056.95 and 470.89

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Solution

The fourth proportional to 765.46, 1,056.95 and 470.89 is: 650.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.46 : 1,056.95 = 470.89 : x
  2. Step 2: Convert to fraction form
    765.46/1,056.95 = 470.89/x
  3. Step 3: Cross multiply
    765.46x = 1,056.95 × 470.89
  4. Step 4: Simplify right side
    765.46x = 497,704.83
  5. Step 5: Solve for x
    x = 497,704.83/765.46
  6. Step 6: Final answer
    x = 650.20

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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.