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Finding the Fourth Proportional to 897.04, 1,343.82 and 531.10

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Solution

The fourth proportional to 897.04, 1,343.82 and 531.10 is: 795.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.04 : 1,343.82 = 531.10 : x
  2. Step 2: Convert to fraction form
    897.04/1,343.82 = 531.10/x
  3. Step 3: Cross multiply
    897.04x = 1,343.82 × 531.10
  4. Step 4: Simplify right side
    897.04x = 713,702.80
  5. Step 5: Solve for x
    x = 713,702.80/897.04
  6. Step 6: Final answer
    x = 795.62

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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.