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Finding the Fourth Proportional to 1,747.70, 2,622.91 and 652.13

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Solution

The fourth proportional to 1,747.70, 2,622.91 and 652.13 is: 978.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.70 : 2,622.91 = 652.13 : x
  2. Step 2: Convert to fraction form
    1,747.70/2,622.91 = 652.13/x
  3. Step 3: Cross multiply
    1,747.70x = 2,622.91 × 652.13
  4. Step 4: Simplify right side
    1,747.70x = 1,710,465.18
  5. Step 5: Solve for x
    x = 1,710,465.18/1,747.70
  6. Step 6: Final answer
    x = 978.70

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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.