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Finding the Fourth Proportional to 1,002.26, 1,496.56 and 897.47

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Solution

The fourth proportional to 1,002.26, 1,496.56 and 897.47 is: 1,340.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.26 : 1,496.56 = 897.47 : x
  2. Step 2: Convert to fraction form
    1,002.26/1,496.56 = 897.47/x
  3. Step 3: Cross multiply
    1,002.26x = 1,496.56 × 897.47
  4. Step 4: Simplify right side
    1,002.26x = 1,343,111.34
  5. Step 5: Solve for x
    x = 1,343,111.34/1,002.26
  6. Step 6: Final answer
    x = 1,340.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.