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Finding the Fourth Proportional to 972.83, 1,342.38 and 553.18

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Solution

The fourth proportional to 972.83, 1,342.38 and 553.18 is: 763.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.83 : 1,342.38 = 553.18 : x
  2. Step 2: Convert to fraction form
    972.83/1,342.38 = 553.18/x
  3. Step 3: Cross multiply
    972.83x = 1,342.38 × 553.18
  4. Step 4: Simplify right side
    972.83x = 742,574.41
  5. Step 5: Solve for x
    x = 742,574.41/972.83
  6. Step 6: Final answer
    x = 763.32

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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.