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Finding the Fourth Proportional to 687.30, 1,030.20 and 524.46

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Solution

The fourth proportional to 687.30, 1,030.20 and 524.46 is: 786.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.30 : 1,030.20 = 524.46 : x
  2. Step 2: Convert to fraction form
    687.30/1,030.20 = 524.46/x
  3. Step 3: Cross multiply
    687.30x = 1,030.20 × 524.46
  4. Step 4: Simplify right side
    687.30x = 540,298.69
  5. Step 5: Solve for x
    x = 540,298.69/687.30
  6. Step 6: Final answer
    x = 786.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.