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Finding the Fourth Proportional to 765.34, 1,055.92 and 666.94

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Solution

The fourth proportional to 765.34, 1,055.92 and 666.94 is: 920.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.34 : 1,055.92 = 666.94 : x
  2. Step 2: Convert to fraction form
    765.34/1,055.92 = 666.94/x
  3. Step 3: Cross multiply
    765.34x = 1,055.92 × 666.94
  4. Step 4: Simplify right side
    765.34x = 704,235.28
  5. Step 5: Solve for x
    x = 704,235.28/765.34
  6. Step 6: Final answer
    x = 920.16

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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.