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Finding the Fourth Proportional to 474.93, 709.02 and 405.72

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Solution

The fourth proportional to 474.93, 709.02 and 405.72 is: 605.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.93 : 709.02 = 405.72 : x
  2. Step 2: Convert to fraction form
    474.93/709.02 = 405.72/x
  3. Step 3: Cross multiply
    474.93x = 709.02 × 405.72
  4. Step 4: Simplify right side
    474.93x = 287,663.59
  5. Step 5: Solve for x
    x = 287,663.59/474.93
  6. Step 6: Final answer
    x = 605.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.