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Finding the Fourth Proportional to 1,112.95, 1,534.75 and 670.89

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Solution

The fourth proportional to 1,112.95, 1,534.75 and 670.89 is: 925.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.95 : 1,534.75 = 670.89 : x
  2. Step 2: Convert to fraction form
    1,112.95/1,534.75 = 670.89/x
  3. Step 3: Cross multiply
    1,112.95x = 1,534.75 × 670.89
  4. Step 4: Simplify right side
    1,112.95x = 1,029,648.43
  5. Step 5: Solve for x
    x = 1,029,648.43/1,112.95
  6. Step 6: Final answer
    x = 925.15

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1.5x scale

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.