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Finding the Fourth Proportional to 647.34, 972.09 and 578.04

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Solution

The fourth proportional to 647.34, 972.09 and 578.04 is: 868.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.34 : 972.09 = 578.04 : x
  2. Step 2: Convert to fraction form
    647.34/972.09 = 578.04/x
  3. Step 3: Cross multiply
    647.34x = 972.09 × 578.04
  4. Step 4: Simplify right side
    647.34x = 561,906.90
  5. Step 5: Solve for x
    x = 561,906.90/647.34
  6. Step 6: Final answer
    x = 868.02

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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.