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Finding the Fourth Proportional to 526.24, 787.44 and 490.40

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Solution

The fourth proportional to 526.24, 787.44 and 490.40 is: 733.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.24 : 787.44 = 490.40 : x
  2. Step 2: Convert to fraction form
    526.24/787.44 = 490.40/x
  3. Step 3: Cross multiply
    526.24x = 787.44 × 490.40
  4. Step 4: Simplify right side
    526.24x = 386,160.58
  5. Step 5: Solve for x
    x = 386,160.58/526.24
  6. Step 6: Final answer
    x = 733.81

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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.