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Finding the Fourth Proportional to 897.60, 1,340.56 and 753.28

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Solution

The fourth proportional to 897.60, 1,340.56 and 753.28 is: 1,125.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.60 : 1,340.56 = 753.28 : x
  2. Step 2: Convert to fraction form
    897.60/1,340.56 = 753.28/x
  3. Step 3: Cross multiply
    897.60x = 1,340.56 × 753.28
  4. Step 4: Simplify right side
    897.60x = 1,009,817.04
  5. Step 5: Solve for x
    x = 1,009,817.04/897.60
  6. Step 6: Final answer
    x = 1,125.02

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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.