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Finding the Fourth Proportional to 765.04, 1,055.36 and 450.15

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Solution

The fourth proportional to 765.04, 1,055.36 and 450.15 is: 620.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.04 : 1,055.36 = 450.15 : x
  2. Step 2: Convert to fraction form
    765.04/1,055.36 = 450.15/x
  3. Step 3: Cross multiply
    765.04x = 1,055.36 × 450.15
  4. Step 4: Simplify right side
    765.04x = 475,070.30
  5. Step 5: Solve for x
    x = 475,070.30/765.04
  6. Step 6: Final answer
    x = 620.97

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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.