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Finding the Fourth Proportional to 765.02, 1,145.10 and 603.02

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Solution

The fourth proportional to 765.02, 1,145.10 and 603.02 is: 902.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.02 : 1,145.10 = 603.02 : x
  2. Step 2: Convert to fraction form
    765.02/1,145.10 = 603.02/x
  3. Step 3: Cross multiply
    765.02x = 1,145.10 × 603.02
  4. Step 4: Simplify right side
    765.02x = 690,518.20
  5. Step 5: Solve for x
    x = 690,518.20/765.02
  6. Step 6: Final answer
    x = 902.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.