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Finding the Fourth Proportional to 563.06, 842.78 and 302.40

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Solution

The fourth proportional to 563.06, 842.78 and 302.40 is: 452.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.06 : 842.78 = 302.40 : x
  2. Step 2: Convert to fraction form
    563.06/842.78 = 302.40/x
  3. Step 3: Cross multiply
    563.06x = 842.78 × 302.40
  4. Step 4: Simplify right side
    563.06x = 254,856.67
  5. Step 5: Solve for x
    x = 254,856.67/563.06
  6. Step 6: Final answer
    x = 452.63

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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.