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Finding the Fourth Proportional to 697.97, 1,045.40 and 478.07

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Solution

The fourth proportional to 697.97, 1,045.40 and 478.07 is: 716.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.97 : 1,045.40 = 478.07 : x
  2. Step 2: Convert to fraction form
    697.97/1,045.40 = 478.07/x
  3. Step 3: Cross multiply
    697.97x = 1,045.40 × 478.07
  4. Step 4: Simplify right side
    697.97x = 499,766.76
  5. Step 5: Solve for x
    x = 499,766.76/697.97
  6. Step 6: Final answer
    x = 716.03

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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.