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Finding the Fourth Proportional to 522.87, 787.40 and 455.20

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Solution

The fourth proportional to 522.87, 787.40 and 455.20 is: 685.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.87 : 787.40 = 455.20 : x
  2. Step 2: Convert to fraction form
    522.87/787.40 = 455.20/x
  3. Step 3: Cross multiply
    522.87x = 787.40 × 455.20
  4. Step 4: Simplify right side
    522.87x = 358,428.93
  5. Step 5: Solve for x
    x = 358,428.93/522.87
  6. Step 6: Final answer
    x = 685.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.