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Finding the Fourth Proportional to 1,246.77, 1,870.11 and 322.29

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Solution

The fourth proportional to 1,246.77, 1,870.11 and 322.29 is: 483.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.77 : 1,870.11 = 322.29 : x
  2. Step 2: Convert to fraction form
    1,246.77/1,870.11 = 322.29/x
  3. Step 3: Cross multiply
    1,246.77x = 1,870.11 × 322.29
  4. Step 4: Simplify right side
    1,246.77x = 602,717.75
  5. Step 5: Solve for x
    x = 602,717.75/1,246.77
  6. Step 6: Final answer
    x = 483.42

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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.