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Finding the Fourth Proportional to 575.23, 866.71 and 474.76

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Solution

The fourth proportional to 575.23, 866.71 and 474.76 is: 715.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.23 : 866.71 = 474.76 : x
  2. Step 2: Convert to fraction form
    575.23/866.71 = 474.76/x
  3. Step 3: Cross multiply
    575.23x = 866.71 × 474.76
  4. Step 4: Simplify right side
    575.23x = 411,480.43
  5. Step 5: Solve for x
    x = 411,480.43/575.23
  6. Step 6: Final answer
    x = 715.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.