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Finding the Fourth Proportional to 1,013.91, 1,512.91 and 951.99

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Solution

The fourth proportional to 1,013.91, 1,512.91 and 951.99 is: 1,420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.91 : 1,512.91 = 951.99 : x
  2. Step 2: Convert to fraction form
    1,013.91/1,512.91 = 951.99/x
  3. Step 3: Cross multiply
    1,013.91x = 1,512.91 × 951.99
  4. Step 4: Simplify right side
    1,013.91x = 1,440,275.19
  5. Step 5: Solve for x
    x = 1,440,275.19/1,013.91
  6. Step 6: Final answer
    x = 1,420.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.