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Finding the Fourth Proportional to 1,648.48, 2,472.98 and 553.10

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Solution

The fourth proportional to 1,648.48, 2,472.98 and 553.10 is: 829.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.48 : 2,472.98 = 553.10 : x
  2. Step 2: Convert to fraction form
    1,648.48/2,472.98 = 553.10/x
  3. Step 3: Cross multiply
    1,648.48x = 2,472.98 × 553.10
  4. Step 4: Simplify right side
    1,648.48x = 1,367,814.08
  5. Step 5: Solve for x
    x = 1,367,814.08/1,648.48
  6. Step 6: Final answer
    x = 829.74

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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.