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Finding the Fourth Proportional to 565.61, 780.89 and 366.52

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Solution

The fourth proportional to 565.61, 780.89 and 366.52 is: 506.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.61 : 780.89 = 366.52 : x
  2. Step 2: Convert to fraction form
    565.61/780.89 = 366.52/x
  3. Step 3: Cross multiply
    565.61x = 780.89 × 366.52
  4. Step 4: Simplify right side
    565.61x = 286,211.80
  5. Step 5: Solve for x
    x = 286,211.80/565.61
  6. Step 6: Final answer
    x = 506.02

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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.