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Finding the Fourth Proportional to 1,622.50, 2,434.14 and 468.24

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Solution

The fourth proportional to 1,622.50, 2,434.14 and 468.24 is: 702.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.50 : 2,434.14 = 468.24 : x
  2. Step 2: Convert to fraction form
    1,622.50/2,434.14 = 468.24/x
  3. Step 3: Cross multiply
    1,622.50x = 2,434.14 × 468.24
  4. Step 4: Simplify right side
    1,622.50x = 1,139,761.71
  5. Step 5: Solve for x
    x = 1,139,761.71/1,622.50
  6. Step 6: Final answer
    x = 702.47

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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.