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Finding the Fourth Proportional to 978.62, 1,350.63 and 605.72

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Solution

The fourth proportional to 978.62, 1,350.63 and 605.72 is: 835.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.62 : 1,350.63 = 605.72 : x
  2. Step 2: Convert to fraction form
    978.62/1,350.63 = 605.72/x
  3. Step 3: Cross multiply
    978.62x = 1,350.63 × 605.72
  4. Step 4: Simplify right side
    978.62x = 818,104.19
  5. Step 5: Solve for x
    x = 818,104.19/978.62
  6. Step 6: Final answer
    x = 835.98

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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.