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Finding the Fourth Proportional to 526.16, 787.86 and 371.25

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Solution

The fourth proportional to 526.16, 787.86 and 371.25 is: 555.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.16 : 787.86 = 371.25 : x
  2. Step 2: Convert to fraction form
    526.16/787.86 = 371.25/x
  3. Step 3: Cross multiply
    526.16x = 787.86 × 371.25
  4. Step 4: Simplify right side
    526.16x = 292,493.03
  5. Step 5: Solve for x
    x = 292,493.03/526.16
  6. Step 6: Final answer
    x = 555.90

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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.