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Finding the Fourth Proportional to 983.59, 1,357.33 and 652.25

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Solution

The fourth proportional to 983.59, 1,357.33 and 652.25 is: 900.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.59 : 1,357.33 = 652.25 : x
  2. Step 2: Convert to fraction form
    983.59/1,357.33 = 652.25/x
  3. Step 3: Cross multiply
    983.59x = 1,357.33 × 652.25
  4. Step 4: Simplify right side
    983.59x = 885,310.08
  5. Step 5: Solve for x
    x = 885,310.08/983.59
  6. Step 6: Final answer
    x = 900.08

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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.