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Finding the Fourth Proportional to 972.34, 1,452.94 and 661.62

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Solution

The fourth proportional to 972.34, 1,452.94 and 661.62 is: 988.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.34 : 1,452.94 = 661.62 : x
  2. Step 2: Convert to fraction form
    972.34/1,452.94 = 661.62/x
  3. Step 3: Cross multiply
    972.34x = 1,452.94 × 661.62
  4. Step 4: Simplify right side
    972.34x = 961,294.16
  5. Step 5: Solve for x
    x = 961,294.16/972.34
  6. Step 6: Final answer
    x = 988.64

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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.