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Finding the Fourth Proportional to 982.48, 1,470.86 and 570.36

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Solution

The fourth proportional to 982.48, 1,470.86 and 570.36 is: 853.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.48 : 1,470.86 = 570.36 : x
  2. Step 2: Convert to fraction form
    982.48/1,470.86 = 570.36/x
  3. Step 3: Cross multiply
    982.48x = 1,470.86 × 570.36
  4. Step 4: Simplify right side
    982.48x = 838,919.71
  5. Step 5: Solve for x
    x = 838,919.71/982.48
  6. Step 6: Final answer
    x = 853.88

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