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Finding the Fourth Proportional to 1,312.33, 1,966.75 and 489.78

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Solution

The fourth proportional to 1,312.33, 1,966.75 and 489.78 is: 734.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.33 : 1,966.75 = 489.78 : x
  2. Step 2: Convert to fraction form
    1,312.33/1,966.75 = 489.78/x
  3. Step 3: Cross multiply
    1,312.33x = 1,966.75 × 489.78
  4. Step 4: Simplify right side
    1,312.33x = 963,267.13
  5. Step 5: Solve for x
    x = 963,267.13/1,312.33
  6. Step 6: Final answer
    x = 734.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.