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Finding the Fourth Proportional to 1,114.65, 1,671.29 and 528.86

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Solution

The fourth proportional to 1,114.65, 1,671.29 and 528.86 is: 792.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.65 : 1,671.29 = 528.86 : x
  2. Step 2: Convert to fraction form
    1,114.65/1,671.29 = 528.86/x
  3. Step 3: Cross multiply
    1,114.65x = 1,671.29 × 528.86
  4. Step 4: Simplify right side
    1,114.65x = 883,871.40
  5. Step 5: Solve for x
    x = 883,871.40/1,114.65
  6. Step 6: Final answer
    x = 792.96

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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.