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Finding the Fourth Proportional to 1,164.08, 1,742.88 and 615.08

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Solution

The fourth proportional to 1,164.08, 1,742.88 and 615.08 is: 920.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.08 : 1,742.88 = 615.08 : x
  2. Step 2: Convert to fraction form
    1,164.08/1,742.88 = 615.08/x
  3. Step 3: Cross multiply
    1,164.08x = 1,742.88 × 615.08
  4. Step 4: Simplify right side
    1,164.08x = 1,072,010.63
  5. Step 5: Solve for x
    x = 1,072,010.63/1,164.08
  6. Step 6: Final answer
    x = 920.91

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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.