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Finding the Fourth Proportional to 740.42, 1,111.13 and 307.57

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Solution

The fourth proportional to 740.42, 1,111.13 and 307.57 is: 461.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.42 : 1,111.13 = 307.57 : x
  2. Step 2: Convert to fraction form
    740.42/1,111.13 = 307.57/x
  3. Step 3: Cross multiply
    740.42x = 1,111.13 × 307.57
  4. Step 4: Simplify right side
    740.42x = 341,750.25
  5. Step 5: Solve for x
    x = 341,750.25/740.42
  6. Step 6: Final answer
    x = 461.56

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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.