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Finding the Fourth Proportional to 701.05, 1,051.80 and 354.01

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Solution

The fourth proportional to 701.05, 1,051.80 and 354.01 is: 531.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.05 : 1,051.80 = 354.01 : x
  2. Step 2: Convert to fraction form
    701.05/1,051.80 = 354.01/x
  3. Step 3: Cross multiply
    701.05x = 1,051.80 × 354.01
  4. Step 4: Simplify right side
    701.05x = 372,347.72
  5. Step 5: Solve for x
    x = 372,347.72/701.05
  6. Step 6: Final answer
    x = 531.13

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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.