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Finding the Fourth Proportional to 474.95, 708.88 and 405.08

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Solution

The fourth proportional to 474.95, 708.88 and 405.08 is: 604.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.95 : 708.88 = 405.08 : x
  2. Step 2: Convert to fraction form
    474.95/708.88 = 405.08/x
  3. Step 3: Cross multiply
    474.95x = 708.88 × 405.08
  4. Step 4: Simplify right side
    474.95x = 287,153.11
  5. Step 5: Solve for x
    x = 287,153.11/474.95
  6. Step 6: Final answer
    x = 604.60

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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.