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Finding the Fourth Proportional to 970.36, 1,456.26 and 457.72

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Solution

The fourth proportional to 970.36, 1,456.26 and 457.72 is: 686.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.36 : 1,456.26 = 457.72 : x
  2. Step 2: Convert to fraction form
    970.36/1,456.26 = 457.72/x
  3. Step 3: Cross multiply
    970.36x = 1,456.26 × 457.72
  4. Step 4: Simplify right side
    970.36x = 666,559.33
  5. Step 5: Solve for x
    x = 666,559.33/970.36
  6. Step 6: Final answer
    x = 686.92

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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.