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Finding the Fourth Proportional to 689.76, 1,032.21 and 526.14

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Solution

The fourth proportional to 689.76, 1,032.21 and 526.14 is: 787.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.76 : 1,032.21 = 526.14 : x
  2. Step 2: Convert to fraction form
    689.76/1,032.21 = 526.14/x
  3. Step 3: Cross multiply
    689.76x = 1,032.21 × 526.14
  4. Step 4: Simplify right side
    689.76x = 543,086.97
  5. Step 5: Solve for x
    x = 543,086.97/689.76
  6. Step 6: Final answer
    x = 787.36

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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.