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Finding the Fourth Proportional to 753.41, 1,039.64 and 473.63

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Solution

The fourth proportional to 753.41, 1,039.64 and 473.63 is: 653.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.41 : 1,039.64 = 473.63 : x
  2. Step 2: Convert to fraction form
    753.41/1,039.64 = 473.63/x
  3. Step 3: Cross multiply
    753.41x = 1,039.64 × 473.63
  4. Step 4: Simplify right side
    753.41x = 492,397.13
  5. Step 5: Solve for x
    x = 492,397.13/753.41
  6. Step 6: Final answer
    x = 653.56

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