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Finding the Fourth Proportional to 1,114.50, 1,671.75 and 384.08

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Solution

The fourth proportional to 1,114.50, 1,671.75 and 384.08 is: 576.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.50 : 1,671.75 = 384.08 : x
  2. Step 2: Convert to fraction form
    1,114.50/1,671.75 = 384.08/x
  3. Step 3: Cross multiply
    1,114.50x = 1,671.75 × 384.08
  4. Step 4: Simplify right side
    1,114.50x = 642,085.74
  5. Step 5: Solve for x
    x = 642,085.74/1,114.50
  6. Step 6: Final answer
    x = 576.12

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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.