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Finding the Fourth Proportional to 491.64, 740.27 and 431.52

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Solution

The fourth proportional to 491.64, 740.27 and 431.52 is: 649.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.64 : 740.27 = 431.52 : x
  2. Step 2: Convert to fraction form
    491.64/740.27 = 431.52/x
  3. Step 3: Cross multiply
    491.64x = 740.27 × 431.52
  4. Step 4: Simplify right side
    491.64x = 319,439.15
  5. Step 5: Solve for x
    x = 319,439.15/491.64
  6. Step 6: Final answer
    x = 649.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.