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Finding the Fourth Proportional to 565.87, 853.90 and 545.53

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Solution

The fourth proportional to 565.87, 853.90 and 545.53 is: 823.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.87 : 853.90 = 545.53 : x
  2. Step 2: Convert to fraction form
    565.87/853.90 = 545.53/x
  3. Step 3: Cross multiply
    565.87x = 853.90 × 545.53
  4. Step 4: Simplify right side
    565.87x = 465,828.07
  5. Step 5: Solve for x
    x = 465,828.07/565.87
  6. Step 6: Final answer
    x = 823.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.