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Finding the Fourth Proportional to 1,246.97, 1,870.31 and 322.53

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Solution

The fourth proportional to 1,246.97, 1,870.31 and 322.53 is: 483.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.97 : 1,870.31 = 322.53 : x
  2. Step 2: Convert to fraction form
    1,246.97/1,870.31 = 322.53/x
  3. Step 3: Cross multiply
    1,246.97x = 1,870.31 × 322.53
  4. Step 4: Simplify right side
    1,246.97x = 603,220.12
  5. Step 5: Solve for x
    x = 603,220.12/1,246.97
  6. Step 6: Final answer
    x = 483.75

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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.