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Finding the Fourth Proportional to 522.39, 787.51 and 487.16

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Solution

The fourth proportional to 522.39, 787.51 and 487.16 is: 734.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.39 : 787.51 = 487.16 : x
  2. Step 2: Convert to fraction form
    522.39/787.51 = 487.16/x
  3. Step 3: Cross multiply
    522.39x = 787.51 × 487.16
  4. Step 4: Simplify right side
    522.39x = 383,643.37
  5. Step 5: Solve for x
    x = 383,643.37/522.39
  6. Step 6: Final answer
    x = 734.40

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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.