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Finding the Fourth Proportional to 765.58, 1,055.57 and 647.34

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Solution

The fourth proportional to 765.58, 1,055.57 and 647.34 is: 892.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.58 : 1,055.57 = 647.34 : x
  2. Step 2: Convert to fraction form
    765.58/1,055.57 = 647.34/x
  3. Step 3: Cross multiply
    765.58x = 1,055.57 × 647.34
  4. Step 4: Simplify right side
    765.58x = 683,304.17
  5. Step 5: Solve for x
    x = 683,304.17/765.58
  6. Step 6: Final answer
    x = 892.54

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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.