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Finding the Fourth Proportional to 753.32, 1,039.60 and 473.68

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Solution

The fourth proportional to 753.32, 1,039.60 and 473.68 is: 653.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.32 : 1,039.60 = 473.68 : x
  2. Step 2: Convert to fraction form
    753.32/1,039.60 = 473.68/x
  3. Step 3: Cross multiply
    753.32x = 1,039.60 × 473.68
  4. Step 4: Simplify right side
    753.32x = 492,437.73
  5. Step 5: Solve for x
    x = 492,437.73/753.32
  6. Step 6: Final answer
    x = 653.69

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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.