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Finding the Fourth Proportional to 1,648.81, 2,472.81 and 478.81

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Solution

The fourth proportional to 1,648.81, 2,472.81 and 478.81 is: 718.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.81 : 2,472.81 = 478.81 : x
  2. Step 2: Convert to fraction form
    1,648.81/2,472.81 = 478.81/x
  3. Step 3: Cross multiply
    1,648.81x = 2,472.81 × 478.81
  4. Step 4: Simplify right side
    1,648.81x = 1,184,006.16
  5. Step 5: Solve for x
    x = 1,184,006.16/1,648.81
  6. Step 6: Final answer
    x = 718.10

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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.