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Finding the Fourth Proportional to 566.91, 838.80 and 565.29

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Solution

The fourth proportional to 566.91, 838.80 and 565.29 is: 836.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.91 : 838.80 = 565.29 : x
  2. Step 2: Convert to fraction form
    566.91/838.80 = 565.29/x
  3. Step 3: Cross multiply
    566.91x = 838.80 × 565.29
  4. Step 4: Simplify right side
    566.91x = 474,165.25
  5. Step 5: Solve for x
    x = 474,165.25/566.91
  6. Step 6: Final answer
    x = 836.40

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.