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Finding the Fourth Proportional to 1,315.99, 1,974.17 and 482.95

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Solution

The fourth proportional to 1,315.99, 1,974.17 and 482.95 is: 724.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.99 : 1,974.17 = 482.95 : x
  2. Step 2: Convert to fraction form
    1,315.99/1,974.17 = 482.95/x
  3. Step 3: Cross multiply
    1,315.99x = 1,974.17 × 482.95
  4. Step 4: Simplify right side
    1,315.99x = 953,415.53
  5. Step 5: Solve for x
    x = 953,415.53/1,315.99
  6. Step 6: Final answer
    x = 724.49

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1.5x scale

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.