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Finding the Fourth Proportional to 951.40, 1,428.12 and 690.28

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Solution

The fourth proportional to 951.40, 1,428.12 and 690.28 is: 1,036.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.40 : 1,428.12 = 690.28 : x
  2. Step 2: Convert to fraction form
    951.40/1,428.12 = 690.28/x
  3. Step 3: Cross multiply
    951.40x = 1,428.12 × 690.28
  4. Step 4: Simplify right side
    951.40x = 985,802.67
  5. Step 5: Solve for x
    x = 985,802.67/951.40
  6. Step 6: Final answer
    x = 1,036.16

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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.