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Finding the Fourth Proportional to 647.50, 971.20 and 160.52

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Solution

The fourth proportional to 647.50, 971.20 and 160.52 is: 240.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.50 : 971.20 = 160.52 : x
  2. Step 2: Convert to fraction form
    647.50/971.20 = 160.52/x
  3. Step 3: Cross multiply
    647.50x = 971.20 × 160.52
  4. Step 4: Simplify right side
    647.50x = 155,897.02
  5. Step 5: Solve for x
    x = 155,897.02/647.50
  6. Step 6: Final answer
    x = 240.77

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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.