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Finding the Fourth Proportional to 972.45, 1,457.86 and 387.87

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Solution

The fourth proportional to 972.45, 1,457.86 and 387.87 is: 581.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.45 : 1,457.86 = 387.87 : x
  2. Step 2: Convert to fraction form
    972.45/1,457.86 = 387.87/x
  3. Step 3: Cross multiply
    972.45x = 1,457.86 × 387.87
  4. Step 4: Simplify right side
    972.45x = 565,460.16
  5. Step 5: Solve for x
    x = 565,460.16/972.45
  6. Step 6: Final answer
    x = 581.48

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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.