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Finding the Fourth Proportional to 917.55, 1,374.30 and 897.30

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Solution

The fourth proportional to 917.55, 1,374.30 and 897.30 is: 1,343.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.55 : 1,374.30 = 897.30 : x
  2. Step 2: Convert to fraction form
    917.55/1,374.30 = 897.30/x
  3. Step 3: Cross multiply
    917.55x = 1,374.30 × 897.30
  4. Step 4: Simplify right side
    917.55x = 1,233,159.39
  5. Step 5: Solve for x
    x = 1,233,159.39/917.55
  6. Step 6: Final answer
    x = 1,343.97

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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.