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Finding the Fourth Proportional to 1,315.04, 1,972.20 and 493.76

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Solution

The fourth proportional to 1,315.04, 1,972.20 and 493.76 is: 740.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.04 : 1,972.20 = 493.76 : x
  2. Step 2: Convert to fraction form
    1,315.04/1,972.20 = 493.76/x
  3. Step 3: Cross multiply
    1,315.04x = 1,972.20 × 493.76
  4. Step 4: Simplify right side
    1,315.04x = 973,793.47
  5. Step 5: Solve for x
    x = 973,793.47/1,315.04
  6. Step 6: Final answer
    x = 740.50

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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.