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Finding the Fourth Proportional to 765.51, 1,148.17 and 245.47

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Solution

The fourth proportional to 765.51, 1,148.17 and 245.47 is: 368.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.51 : 1,148.17 = 245.47 : x
  2. Step 2: Convert to fraction form
    765.51/1,148.17 = 245.47/x
  3. Step 3: Cross multiply
    765.51x = 1,148.17 × 245.47
  4. Step 4: Simplify right side
    765.51x = 281,841.29
  5. Step 5: Solve for x
    x = 281,841.29/765.51
  6. Step 6: Final answer
    x = 368.17

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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.