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Finding the Fourth Proportional to 740.05, 1,109.71 and 431.98

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Solution

The fourth proportional to 740.05, 1,109.71 and 431.98 is: 647.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.05 : 1,109.71 = 431.98 : x
  2. Step 2: Convert to fraction form
    740.05/1,109.71 = 431.98/x
  3. Step 3: Cross multiply
    740.05x = 1,109.71 × 431.98
  4. Step 4: Simplify right side
    740.05x = 479,364.82
  5. Step 5: Solve for x
    x = 479,364.82/740.05
  6. Step 6: Final answer
    x = 647.75

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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.