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Finding the Fourth Proportional to 564.91, 841.47 and 557.62

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Solution

The fourth proportional to 564.91, 841.47 and 557.62 is: 830.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.91 : 841.47 = 557.62 : x
  2. Step 2: Convert to fraction form
    564.91/841.47 = 557.62/x
  3. Step 3: Cross multiply
    564.91x = 841.47 × 557.62
  4. Step 4: Simplify right side
    564.91x = 469,219.44
  5. Step 5: Solve for x
    x = 469,219.44/564.91
  6. Step 6: Final answer
    x = 830.61

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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.