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Finding the Fourth Proportional to 978.94, 1,470.63 and 853.66

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Solution

The fourth proportional to 978.94, 1,470.63 and 853.66 is: 1,282.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.94 : 1,470.63 = 853.66 : x
  2. Step 2: Convert to fraction form
    978.94/1,470.63 = 853.66/x
  3. Step 3: Cross multiply
    978.94x = 1,470.63 × 853.66
  4. Step 4: Simplify right side
    978.94x = 1,255,418.01
  5. Step 5: Solve for x
    x = 1,255,418.01/978.94
  6. Step 6: Final answer
    x = 1,282.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.