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Finding the Fourth Proportional to 713.79, 1,070.64 and 453.78

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Solution

The fourth proportional to 713.79, 1,070.64 and 453.78 is: 680.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.79 : 1,070.64 = 453.78 : x
  2. Step 2: Convert to fraction form
    713.79/1,070.64 = 453.78/x
  3. Step 3: Cross multiply
    713.79x = 1,070.64 × 453.78
  4. Step 4: Simplify right side
    713.79x = 485,835.02
  5. Step 5: Solve for x
    x = 485,835.02/713.79
  6. Step 6: Final answer
    x = 680.64

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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.