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Finding the Fourth Proportional to 718.88, 1,076.90 and 471.42

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Solution

The fourth proportional to 718.88, 1,076.90 and 471.42 is: 706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.88 : 1,076.90 = 471.42 : x
  2. Step 2: Convert to fraction form
    718.88/1,076.90 = 471.42/x
  3. Step 3: Cross multiply
    718.88x = 1,076.90 × 471.42
  4. Step 4: Simplify right side
    718.88x = 507,669.84
  5. Step 5: Solve for x
    x = 507,669.84/718.88
  6. Step 6: Final answer
    x = 706.20

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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.