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Finding the Fourth Proportional to 738.10, 1,013.14 and 653.36

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Solution

The fourth proportional to 738.10, 1,013.14 and 653.36 is: 896.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.10 : 1,013.14 = 653.36 : x
  2. Step 2: Convert to fraction form
    738.10/1,013.14 = 653.36/x
  3. Step 3: Cross multiply
    738.10x = 1,013.14 × 653.36
  4. Step 4: Simplify right side
    738.10x = 661,945.15
  5. Step 5: Solve for x
    x = 661,945.15/738.10
  6. Step 6: Final answer
    x = 896.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.