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Finding the Fourth Proportional to 971.95, 1,455.61 and 532.55

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Solution

The fourth proportional to 971.95, 1,455.61 and 532.55 is: 797.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.95 : 1,455.61 = 532.55 : x
  2. Step 2: Convert to fraction form
    971.95/1,455.61 = 532.55/x
  3. Step 3: Cross multiply
    971.95x = 1,455.61 × 532.55
  4. Step 4: Simplify right side
    971.95x = 775,176.50
  5. Step 5: Solve for x
    x = 775,176.50/971.95
  6. Step 6: Final answer
    x = 797.55

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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.