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Finding the Fourth Proportional to 978.53, 1,349.51 and 812.48

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Solution

The fourth proportional to 978.53, 1,349.51 and 812.48 is: 1,120.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.53 : 1,349.51 = 812.48 : x
  2. Step 2: Convert to fraction form
    978.53/1,349.51 = 812.48/x
  3. Step 3: Cross multiply
    978.53x = 1,349.51 × 812.48
  4. Step 4: Simplify right side
    978.53x = 1,096,439.07
  5. Step 5: Solve for x
    x = 1,096,439.07/978.53
  6. Step 6: Final answer
    x = 1,120.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.