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Finding the Fourth Proportional to 765.04, 1,154.40 and 765.04

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Solution

The fourth proportional to 765.04, 1,154.40 and 765.04 is: 1,154.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.04 : 1,154.40 = 765.04 : x
  2. Step 2: Convert to fraction form
    765.04/1,154.40 = 765.04/x
  3. Step 3: Cross multiply
    765.04x = 1,154.40 × 765.04
  4. Step 4: Simplify right side
    765.04x = 883,158.35
  5. Step 5: Solve for x
    x = 883,158.35/765.04
  6. Step 6: Final answer
    x = 1,154.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.