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Finding the Fourth Proportional to 571.70, 792.57 and 542.06

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Solution

The fourth proportional to 571.70, 792.57 and 542.06 is: 751.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.70 : 792.57 = 542.06 : x
  2. Step 2: Convert to fraction form
    571.70/792.57 = 542.06/x
  3. Step 3: Cross multiply
    571.70x = 792.57 × 542.06
  4. Step 4: Simplify right side
    571.70x = 429,616.53
  5. Step 5: Solve for x
    x = 429,616.53/571.70
  6. Step 6: Final answer
    x = 751.48

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.