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Finding the Fourth Proportional to 897.47, 1,349.55 and 864.66

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Solution

The fourth proportional to 897.47, 1,349.55 and 864.66 is: 1,300.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.47 : 1,349.55 = 864.66 : x
  2. Step 2: Convert to fraction form
    897.47/1,349.55 = 864.66/x
  3. Step 3: Cross multiply
    897.47x = 1,349.55 × 864.66
  4. Step 4: Simplify right side
    897.47x = 1,166,901.90
  5. Step 5: Solve for x
    x = 1,166,901.90/897.47
  6. Step 6: Final answer
    x = 1,300.21

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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.