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Finding the Fourth Proportional to 972.10, 1,457.79 and 394.78

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Solution

The fourth proportional to 972.10, 1,457.79 and 394.78 is: 592.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.10 : 1,457.79 = 394.78 : x
  2. Step 2: Convert to fraction form
    972.10/1,457.79 = 394.78/x
  3. Step 3: Cross multiply
    972.10x = 1,457.79 × 394.78
  4. Step 4: Simplify right side
    972.10x = 575,506.34
  5. Step 5: Solve for x
    x = 575,506.34/972.10
  6. Step 6: Final answer
    x = 592.02

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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.