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Finding the Fourth Proportional to 1,115.07, 1,672.86 and 345.57

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Solution

The fourth proportional to 1,115.07, 1,672.86 and 345.57 is: 518.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.07 : 1,672.86 = 345.57 : x
  2. Step 2: Convert to fraction form
    1,115.07/1,672.86 = 345.57/x
  3. Step 3: Cross multiply
    1,115.07x = 1,672.86 × 345.57
  4. Step 4: Simplify right side
    1,115.07x = 578,090.23
  5. Step 5: Solve for x
    x = 578,090.23/1,115.07
  6. Step 6: Final answer
    x = 518.43

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1.5x scale

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.