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Finding the Fourth Proportional to 897.47, 1,238.73 and 635.57

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Solution

The fourth proportional to 897.47, 1,238.73 and 635.57 is: 877.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.47 : 1,238.73 = 635.57 : x
  2. Step 2: Convert to fraction form
    897.47/1,238.73 = 635.57/x
  3. Step 3: Cross multiply
    897.47x = 1,238.73 × 635.57
  4. Step 4: Simplify right side
    897.47x = 787,299.63
  5. Step 5: Solve for x
    x = 787,299.63/897.47
  6. Step 6: Final answer
    x = 877.24

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Double scale
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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.