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Finding the Fourth Proportional to 691.24, 953.87 and 392.50

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Solution

The fourth proportional to 691.24, 953.87 and 392.50 is: 541.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.24 : 953.87 = 392.50 : x
  2. Step 2: Convert to fraction form
    691.24/953.87 = 392.50/x
  3. Step 3: Cross multiply
    691.24x = 953.87 × 392.50
  4. Step 4: Simplify right side
    691.24x = 374,393.98
  5. Step 5: Solve for x
    x = 374,393.98/691.24
  6. Step 6: Final answer
    x = 541.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.