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Finding the Fourth Proportional to 1,342.86, 2,013.98 and 477.17

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Solution

The fourth proportional to 1,342.86, 2,013.98 and 477.17 is: 715.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.86 : 2,013.98 = 477.17 : x
  2. Step 2: Convert to fraction form
    1,342.86/2,013.98 = 477.17/x
  3. Step 3: Cross multiply
    1,342.86x = 2,013.98 × 477.17
  4. Step 4: Simplify right side
    1,342.86x = 961,010.84
  5. Step 5: Solve for x
    x = 961,010.84/1,342.86
  6. Step 6: Final answer
    x = 715.65

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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.