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Finding the Fourth Proportional to 1,484.40, 2,227.14 and 510.78

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Solution

The fourth proportional to 1,484.40, 2,227.14 and 510.78 is: 766.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.40 : 2,227.14 = 510.78 : x
  2. Step 2: Convert to fraction form
    1,484.40/2,227.14 = 510.78/x
  3. Step 3: Cross multiply
    1,484.40x = 2,227.14 × 510.78
  4. Step 4: Simplify right side
    1,484.40x = 1,137,578.57
  5. Step 5: Solve for x
    x = 1,137,578.57/1,484.40
  6. Step 6: Final answer
    x = 766.36

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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.