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Finding the Fourth Proportional to 978.51, 1,350.31 and 536.40

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Solution

The fourth proportional to 978.51, 1,350.31 and 536.40 is: 740.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.51 : 1,350.31 = 536.40 : x
  2. Step 2: Convert to fraction form
    978.51/1,350.31 = 536.40/x
  3. Step 3: Cross multiply
    978.51x = 1,350.31 × 536.40
  4. Step 4: Simplify right side
    978.51x = 724,306.28
  5. Step 5: Solve for x
    x = 724,306.28/978.51
  6. Step 6: Final answer
    x = 740.21

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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.