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Finding the Fourth Proportional to 970.32, 1,457.22 and 931.17

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Solution

The fourth proportional to 970.32, 1,457.22 and 931.17 is: 1,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.32 : 1,457.22 = 931.17 : x
  2. Step 2: Convert to fraction form
    970.32/1,457.22 = 931.17/x
  3. Step 3: Cross multiply
    970.32x = 1,457.22 × 931.17
  4. Step 4: Simplify right side
    970.32x = 1,356,919.55
  5. Step 5: Solve for x
    x = 1,356,919.55/970.32
  6. Step 6: Final answer
    x = 1,398.42

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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.