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Finding the Fourth Proportional to 1,112.53, 1,535.08 and 670.46

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Solution

The fourth proportional to 1,112.53, 1,535.08 and 670.46 is: 925.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.53 : 1,535.08 = 670.46 : x
  2. Step 2: Convert to fraction form
    1,112.53/1,535.08 = 670.46/x
  3. Step 3: Cross multiply
    1,112.53x = 1,535.08 × 670.46
  4. Step 4: Simplify right side
    1,112.53x = 1,029,208.39
  5. Step 5: Solve for x
    x = 1,029,208.39/1,112.53
  6. Step 6: Final answer
    x = 925.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.