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Finding the Fourth Proportional to 1,000.86, 1,501.17 and 270.49

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Solution

The fourth proportional to 1,000.86, 1,501.17 and 270.49 is: 405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.86 : 1,501.17 = 270.49 : x
  2. Step 2: Convert to fraction form
    1,000.86/1,501.17 = 270.49/x
  3. Step 3: Cross multiply
    1,000.86x = 1,501.17 × 270.49
  4. Step 4: Simplify right side
    1,000.86x = 406,051.47
  5. Step 5: Solve for x
    x = 406,051.47/1,000.86
  6. Step 6: Final answer
    x = 405.70

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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.