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Finding the Fourth Proportional to 565.59, 842.62 and 538.05

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Solution

The fourth proportional to 565.59, 842.62 and 538.05 is: 801.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.59 : 842.62 = 538.05 : x
  2. Step 2: Convert to fraction form
    565.59/842.62 = 538.05/x
  3. Step 3: Cross multiply
    565.59x = 842.62 × 538.05
  4. Step 4: Simplify right side
    565.59x = 453,370.35
  5. Step 5: Solve for x
    x = 453,370.35/565.59
  6. Step 6: Final answer
    x = 801.59

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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.