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Finding the Fourth Proportional to 918.47, 1,267.49 and 509.18

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Solution

The fourth proportional to 918.47, 1,267.49 and 509.18 is: 702.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.47 : 1,267.49 = 509.18 : x
  2. Step 2: Convert to fraction form
    918.47/1,267.49 = 509.18/x
  3. Step 3: Cross multiply
    918.47x = 1,267.49 × 509.18
  4. Step 4: Simplify right side
    918.47x = 645,371.67
  5. Step 5: Solve for x
    x = 645,371.67/918.47
  6. Step 6: Final answer
    x = 702.66

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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.