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Finding the Fourth Proportional to 409.95, 614.70 and 175.63

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Solution

The fourth proportional to 409.95, 614.70 and 175.63 is: 263.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.95 : 614.70 = 175.63 : x
  2. Step 2: Convert to fraction form
    409.95/614.70 = 175.63/x
  3. Step 3: Cross multiply
    409.95x = 614.70 × 175.63
  4. Step 4: Simplify right side
    409.95x = 107,959.76
  5. Step 5: Solve for x
    x = 107,959.76/409.95
  6. Step 6: Final answer
    x = 263.35

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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.