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Finding the Fourth Proportional to 1,302.19, 1,952.37 and 652.47

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Solution

The fourth proportional to 1,302.19, 1,952.37 and 652.47 is: 978.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.19 : 1,952.37 = 652.47 : x
  2. Step 2: Convert to fraction form
    1,302.19/1,952.37 = 652.47/x
  3. Step 3: Cross multiply
    1,302.19x = 1,952.37 × 652.47
  4. Step 4: Simplify right side
    1,302.19x = 1,273,862.85
  5. Step 5: Solve for x
    x = 1,273,862.85/1,302.19
  6. Step 6: Final answer
    x = 978.25

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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.