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Finding the Fourth Proportional to 876.53, 1,314.93 and 291.34

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Solution

The fourth proportional to 876.53, 1,314.93 and 291.34 is: 437.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.53 : 1,314.93 = 291.34 : x
  2. Step 2: Convert to fraction form
    876.53/1,314.93 = 291.34/x
  3. Step 3: Cross multiply
    876.53x = 1,314.93 × 291.34
  4. Step 4: Simplify right side
    876.53x = 383,090.25
  5. Step 5: Solve for x
    x = 383,090.25/876.53
  6. Step 6: Final answer
    x = 437.05

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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.