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Finding the Fourth Proportional to 718.16, 1,077.51 and 429.80

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Solution

The fourth proportional to 718.16, 1,077.51 and 429.80 is: 644.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.16 : 1,077.51 = 429.80 : x
  2. Step 2: Convert to fraction form
    718.16/1,077.51 = 429.80/x
  3. Step 3: Cross multiply
    718.16x = 1,077.51 × 429.80
  4. Step 4: Simplify right side
    718.16x = 463,113.80
  5. Step 5: Solve for x
    x = 463,113.80/718.16
  6. Step 6: Final answer
    x = 644.86

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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.