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Finding the Fourth Proportional to 765.95, 1,056.69 and 470.70

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Solution

The fourth proportional to 765.95, 1,056.69 and 470.70 is: 649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.95 : 1,056.69 = 470.70 : x
  2. Step 2: Convert to fraction form
    765.95/1,056.69 = 470.70/x
  3. Step 3: Cross multiply
    765.95x = 1,056.69 × 470.70
  4. Step 4: Simplify right side
    765.95x = 497,383.98
  5. Step 5: Solve for x
    x = 497,383.98/765.95
  6. Step 6: Final answer
    x = 649.37

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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.