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Finding the Fourth Proportional to 1,315.36, 1,972.34 and 494.24

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Solution

The fourth proportional to 1,315.36, 1,972.34 and 494.24 is: 741.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.36 : 1,972.34 = 494.24 : x
  2. Step 2: Convert to fraction form
    1,315.36/1,972.34 = 494.24/x
  3. Step 3: Cross multiply
    1,315.36x = 1,972.34 × 494.24
  4. Step 4: Simplify right side
    1,315.36x = 974,809.32
  5. Step 5: Solve for x
    x = 974,809.32/1,315.36
  6. Step 6: Final answer
    x = 741.10

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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.