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Finding the Fourth Proportional to 474.40, 707.82 and 405.16

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Solution

The fourth proportional to 474.40, 707.82 and 405.16 is: 604.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.40 : 707.82 = 405.16 : x
  2. Step 2: Convert to fraction form
    474.40/707.82 = 405.16/x
  3. Step 3: Cross multiply
    474.40x = 707.82 × 405.16
  4. Step 4: Simplify right side
    474.40x = 286,780.35
  5. Step 5: Solve for x
    x = 286,780.35/474.40
  6. Step 6: Final answer
    x = 604.51

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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.