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Finding the Fourth Proportional to 691.04, 1,036.48 and 178.08

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Solution

The fourth proportional to 691.04, 1,036.48 and 178.08 is: 267.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.04 : 1,036.48 = 178.08 : x
  2. Step 2: Convert to fraction form
    691.04/1,036.48 = 178.08/x
  3. Step 3: Cross multiply
    691.04x = 1,036.48 × 178.08
  4. Step 4: Simplify right side
    691.04x = 184,576.36
  5. Step 5: Solve for x
    x = 184,576.36/691.04
  6. Step 6: Final answer
    x = 267.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.