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Finding the Fourth Proportional to 904.80, 1,248.72 and 719.76

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Solution

The fourth proportional to 904.80, 1,248.72 and 719.76 is: 993.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.80 : 1,248.72 = 719.76 : x
  2. Step 2: Convert to fraction form
    904.80/1,248.72 = 719.76/x
  3. Step 3: Cross multiply
    904.80x = 1,248.72 × 719.76
  4. Step 4: Simplify right side
    904.80x = 898,778.71
  5. Step 5: Solve for x
    x = 898,778.71/904.80
  6. Step 6: Final answer
    x = 993.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.