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Finding the Fourth Proportional to 505.71, 753.09 and 474.57

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Solution

The fourth proportional to 505.71, 753.09 and 474.57 is: 706.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.71 : 753.09 = 474.57 : x
  2. Step 2: Convert to fraction form
    505.71/753.09 = 474.57/x
  3. Step 3: Cross multiply
    505.71x = 753.09 × 474.57
  4. Step 4: Simplify right side
    505.71x = 357,393.92
  5. Step 5: Solve for x
    x = 357,393.92/505.71
  6. Step 6: Final answer
    x = 706.72

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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.