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Finding the Fourth Proportional to 765.47, 1,055.90 and 485.23

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Solution

The fourth proportional to 765.47, 1,055.90 and 485.23 is: 669.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.47 : 1,055.90 = 485.23 : x
  2. Step 2: Convert to fraction form
    765.47/1,055.90 = 485.23/x
  3. Step 3: Cross multiply
    765.47x = 1,055.90 × 485.23
  4. Step 4: Simplify right side
    765.47x = 512,350.29
  5. Step 5: Solve for x
    x = 512,350.29/765.47
  6. Step 6: Final answer
    x = 669.33

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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.