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Finding the Fourth Proportional to 972.92, 1,452.30 and 900.63

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Solution

The fourth proportional to 972.92, 1,452.30 and 900.63 is: 1,344.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.92 : 1,452.30 = 900.63 : x
  2. Step 2: Convert to fraction form
    972.92/1,452.30 = 900.63/x
  3. Step 3: Cross multiply
    972.92x = 1,452.30 × 900.63
  4. Step 4: Simplify right side
    972.92x = 1,307,984.95
  5. Step 5: Solve for x
    x = 1,307,984.95/972.92
  6. Step 6: Final answer
    x = 1,344.40

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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.