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Finding the Fourth Proportional to 653.40, 974.97 and 545.40

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Solution

The fourth proportional to 653.40, 974.97 and 545.40 is: 813.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.40 : 974.97 = 545.40 : x
  2. Step 2: Convert to fraction form
    653.40/974.97 = 545.40/x
  3. Step 3: Cross multiply
    653.40x = 974.97 × 545.40
  4. Step 4: Simplify right side
    653.40x = 531,748.64
  5. Step 5: Solve for x
    x = 531,748.64/653.40
  6. Step 6: Final answer
    x = 813.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.