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Finding the Fourth Proportional to 1,315.95, 1,972.78 and 494.00

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Solution

The fourth proportional to 1,315.95, 1,972.78 and 494.00 is: 740.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.95 : 1,972.78 = 494.00 : x
  2. Step 2: Convert to fraction form
    1,315.95/1,972.78 = 494.00/x
  3. Step 3: Cross multiply
    1,315.95x = 1,972.78 × 494.00
  4. Step 4: Simplify right side
    1,315.95x = 974,557.02
  5. Step 5: Solve for x
    x = 974,557.02/1,315.95
  6. Step 6: Final answer
    x = 740.57

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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.