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Finding the Fourth Proportional to 1,148.78, 1,585.58 and 700.75

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Solution

The fourth proportional to 1,148.78, 1,585.58 and 700.75 is: 967.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.78 : 1,585.58 = 700.75 : x
  2. Step 2: Convert to fraction form
    1,148.78/1,585.58 = 700.75/x
  3. Step 3: Cross multiply
    1,148.78x = 1,585.58 × 700.75
  4. Step 4: Simplify right side
    1,148.78x = 1,111,093.66
  5. Step 5: Solve for x
    x = 1,111,093.66/1,148.78
  6. Step 6: Final answer
    x = 967.19

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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.