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Finding the Fourth Proportional to 663.72, 912.17 and 545.51

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Solution

The fourth proportional to 663.72, 912.17 and 545.51 is: 749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.72 : 912.17 = 545.51 : x
  2. Step 2: Convert to fraction form
    663.72/912.17 = 545.51/x
  3. Step 3: Cross multiply
    663.72x = 912.17 × 545.51
  4. Step 4: Simplify right side
    663.72x = 497,590.57
  5. Step 5: Solve for x
    x = 497,590.57/663.72
  6. Step 6: Final answer
    x = 749.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.