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Finding the Fourth Proportional to 1,013.47, 1,398.69 and 635.62

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Solution

The fourth proportional to 1,013.47, 1,398.69 and 635.62 is: 877.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.47 : 1,398.69 = 635.62 : x
  2. Step 2: Convert to fraction form
    1,013.47/1,398.69 = 635.62/x
  3. Step 3: Cross multiply
    1,013.47x = 1,398.69 × 635.62
  4. Step 4: Simplify right side
    1,013.47x = 889,038.20
  5. Step 5: Solve for x
    x = 889,038.20/1,013.47
  6. Step 6: Final answer
    x = 877.23

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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.