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Finding the Fourth Proportional to 904.58, 1,250.61 and 708.02

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Solution

The fourth proportional to 904.58, 1,250.61 and 708.02 is: 978.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.58 : 1,250.61 = 708.02 : x
  2. Step 2: Convert to fraction form
    904.58/1,250.61 = 708.02/x
  3. Step 3: Cross multiply
    904.58x = 1,250.61 × 708.02
  4. Step 4: Simplify right side
    904.58x = 885,456.89
  5. Step 5: Solve for x
    x = 885,456.89/904.58
  6. Step 6: Final answer
    x = 978.86

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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.