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Finding the Fourth Proportional to 976.71, 1,458.10 and 942.53

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Solution

The fourth proportional to 976.71, 1,458.10 and 942.53 is: 1,407.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.71 : 1,458.10 = 942.53 : x
  2. Step 2: Convert to fraction form
    976.71/1,458.10 = 942.53/x
  3. Step 3: Cross multiply
    976.71x = 1,458.10 × 942.53
  4. Step 4: Simplify right side
    976.71x = 1,374,302.99
  5. Step 5: Solve for x
    x = 1,374,302.99/976.71
  6. Step 6: Final answer
    x = 1,407.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.