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Finding the Fourth Proportional to 690.24, 1,031.42 and 524.80

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Solution

The fourth proportional to 690.24, 1,031.42 and 524.80 is: 784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.24 : 1,031.42 = 524.80 : x
  2. Step 2: Convert to fraction form
    690.24/1,031.42 = 524.80/x
  3. Step 3: Cross multiply
    690.24x = 1,031.42 × 524.80
  4. Step 4: Simplify right side
    690.24x = 541,289.22
  5. Step 5: Solve for x
    x = 541,289.22/690.24
  6. Step 6: Final answer
    x = 784.20

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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.