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Finding the Fourth Proportional to 978.68, 1,350.60 and 536.57

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Solution

The fourth proportional to 978.68, 1,350.60 and 536.57 is: 740.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.68 : 1,350.60 = 536.57 : x
  2. Step 2: Convert to fraction form
    978.68/1,350.60 = 536.57/x
  3. Step 3: Cross multiply
    978.68x = 1,350.60 × 536.57
  4. Step 4: Simplify right side
    978.68x = 724,687.74
  5. Step 5: Solve for x
    x = 724,687.74/978.68
  6. Step 6: Final answer
    x = 740.47

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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.