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Finding the Fourth Proportional to 524.84, 787.28 and 340.16

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Solution

The fourth proportional to 524.84, 787.28 and 340.16 is: 510.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.84 : 787.28 = 340.16 : x
  2. Step 2: Convert to fraction form
    524.84/787.28 = 340.16/x
  3. Step 3: Cross multiply
    524.84x = 787.28 × 340.16
  4. Step 4: Simplify right side
    524.84x = 267,801.16
  5. Step 5: Solve for x
    x = 267,801.16/524.84
  6. Step 6: Final answer
    x = 510.25

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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.