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Finding the Fourth Proportional to 704.77, 1,055.99 and 242.30

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Solution

The fourth proportional to 704.77, 1,055.99 and 242.30 is: 363.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.77 : 1,055.99 = 242.30 : x
  2. Step 2: Convert to fraction form
    704.77/1,055.99 = 242.30/x
  3. Step 3: Cross multiply
    704.77x = 1,055.99 × 242.30
  4. Step 4: Simplify right side
    704.77x = 255,866.38
  5. Step 5: Solve for x
    x = 255,866.38/704.77
  6. Step 6: Final answer
    x = 363.05

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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.