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Finding the Fourth Proportional to 765.06, 1,055.80 and 470.42

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Solution

The fourth proportional to 765.06, 1,055.80 and 470.42 is: 649.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.06 : 1,055.80 = 470.42 : x
  2. Step 2: Convert to fraction form
    765.06/1,055.80 = 470.42/x
  3. Step 3: Cross multiply
    765.06x = 1,055.80 × 470.42
  4. Step 4: Simplify right side
    765.06x = 496,669.44
  5. Step 5: Solve for x
    x = 496,669.44/765.06
  6. Step 6: Final answer
    x = 649.19

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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.