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Finding the Fourth Proportional to 897.77, 1,353.08 and 847.53

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Solution

The fourth proportional to 897.77, 1,353.08 and 847.53 is: 1,277.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.77 : 1,353.08 = 847.53 : x
  2. Step 2: Convert to fraction form
    897.77/1,353.08 = 847.53/x
  3. Step 3: Cross multiply
    897.77x = 1,353.08 × 847.53
  4. Step 4: Simplify right side
    897.77x = 1,146,778.01
  5. Step 5: Solve for x
    x = 1,146,778.01/897.77
  6. Step 6: Final answer
    x = 1,277.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.