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Finding the Fourth Proportional to 571.74, 854.12 and 562.02

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Solution

The fourth proportional to 571.74, 854.12 and 562.02 is: 839.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.74 : 854.12 = 562.02 : x
  2. Step 2: Convert to fraction form
    571.74/854.12 = 562.02/x
  3. Step 3: Cross multiply
    571.74x = 854.12 × 562.02
  4. Step 4: Simplify right side
    571.74x = 480,029.71
  5. Step 5: Solve for x
    x = 480,029.71/571.74
  6. Step 6: Final answer
    x = 839.59

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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.