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Finding the Fourth Proportional to 972.16, 1,457.48 and 484.86

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Solution

The fourth proportional to 972.16, 1,457.48 and 484.86 is: 726.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.16 : 1,457.48 = 484.86 : x
  2. Step 2: Convert to fraction form
    972.16/1,457.48 = 484.86/x
  3. Step 3: Cross multiply
    972.16x = 1,457.48 × 484.86
  4. Step 4: Simplify right side
    972.16x = 706,673.75
  5. Step 5: Solve for x
    x = 706,673.75/972.16
  6. Step 6: Final answer
    x = 726.91

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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.