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Finding the Fourth Proportional to 676.23, 1,014.77 and 432.93

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Solution

The fourth proportional to 676.23, 1,014.77 and 432.93 is: 649.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.23 : 1,014.77 = 432.93 : x
  2. Step 2: Convert to fraction form
    676.23/1,014.77 = 432.93/x
  3. Step 3: Cross multiply
    676.23x = 1,014.77 × 432.93
  4. Step 4: Simplify right side
    676.23x = 439,322.21
  5. Step 5: Solve for x
    x = 439,322.21/676.23
  6. Step 6: Final answer
    x = 649.66

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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.