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Finding the Fourth Proportional to 1,648.77, 2,275.50 and 921.24

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Solution

The fourth proportional to 1,648.77, 2,275.50 and 921.24 is: 1,271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.77 : 2,275.50 = 921.24 : x
  2. Step 2: Convert to fraction form
    1,648.77/2,275.50 = 921.24/x
  3. Step 3: Cross multiply
    1,648.77x = 2,275.50 × 921.24
  4. Step 4: Simplify right side
    1,648.77x = 2,096,281.62
  5. Step 5: Solve for x
    x = 2,096,281.62/1,648.77
  6. Step 6: Final answer
    x = 1,271.42

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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.