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Finding the Fourth Proportional to 918.92, 1,267.55 and 545.65

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Solution

The fourth proportional to 918.92, 1,267.55 and 545.65 is: 752.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.92 : 1,267.55 = 545.65 : x
  2. Step 2: Convert to fraction form
    918.92/1,267.55 = 545.65/x
  3. Step 3: Cross multiply
    918.92x = 1,267.55 × 545.65
  4. Step 4: Simplify right side
    918.92x = 691,638.66
  5. Step 5: Solve for x
    x = 691,638.66/918.92
  6. Step 6: Final answer
    x = 752.66

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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.