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Finding the Fourth Proportional to 978.05, 1,352.30 and 855.02

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Solution

The fourth proportional to 978.05, 1,352.30 and 855.02 is: 1,182.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.05 : 1,352.30 = 855.02 : x
  2. Step 2: Convert to fraction form
    978.05/1,352.30 = 855.02/x
  3. Step 3: Cross multiply
    978.05x = 1,352.30 × 855.02
  4. Step 4: Simplify right side
    978.05x = 1,156,232.51
  5. Step 5: Solve for x
    x = 1,156,232.51/978.05
  6. Step 6: Final answer
    x = 1,182.19

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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.