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Finding the Fourth Proportional to 983.42, 1,357.15 and 541.35

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Solution

The fourth proportional to 983.42, 1,357.15 and 541.35 is: 747.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.42 : 1,357.15 = 541.35 : x
  2. Step 2: Convert to fraction form
    983.42/1,357.15 = 541.35/x
  3. Step 3: Cross multiply
    983.42x = 1,357.15 × 541.35
  4. Step 4: Simplify right side
    983.42x = 734,693.15
  5. Step 5: Solve for x
    x = 734,693.15/983.42
  6. Step 6: Final answer
    x = 747.08

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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.