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Finding the Fourth Proportional to 971.53, 1,455.99 and 532.13

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Solution

The fourth proportional to 971.53, 1,455.99 and 532.13 is: 797.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.53 : 1,455.99 = 532.13 : x
  2. Step 2: Convert to fraction form
    971.53/1,455.99 = 532.13/x
  3. Step 3: Cross multiply
    971.53x = 1,455.99 × 532.13
  4. Step 4: Simplify right side
    971.53x = 774,768.68
  5. Step 5: Solve for x
    x = 774,768.68/971.53
  6. Step 6: Final answer
    x = 797.47

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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.