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Finding the Fourth Proportional to 743.10, 1,114.68 and 256.08

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Solution

The fourth proportional to 743.10, 1,114.68 and 256.08 is: 384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.10 : 1,114.68 = 256.08 : x
  2. Step 2: Convert to fraction form
    743.10/1,114.68 = 256.08/x
  3. Step 3: Cross multiply
    743.10x = 1,114.68 × 256.08
  4. Step 4: Simplify right side
    743.10x = 285,447.25
  5. Step 5: Solve for x
    x = 285,447.25/743.10
  6. Step 6: Final answer
    x = 384.13

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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.