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Finding the Fourth Proportional to 765.54, 1,055.33 and 566.08

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Solution

The fourth proportional to 765.54, 1,055.33 and 566.08 is: 780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.54 : 1,055.33 = 566.08 : x
  2. Step 2: Convert to fraction form
    765.54/1,055.33 = 566.08/x
  3. Step 3: Cross multiply
    765.54x = 1,055.33 × 566.08
  4. Step 4: Simplify right side
    765.54x = 597,401.21
  5. Step 5: Solve for x
    x = 597,401.21/765.54
  6. Step 6: Final answer
    x = 780.37

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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.