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Finding the Fourth Proportional to 583.50, 803.86 and 406.16

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Solution

The fourth proportional to 583.50, 803.86 and 406.16 is: 559.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.50 : 803.86 = 406.16 : x
  2. Step 2: Convert to fraction form
    583.50/803.86 = 406.16/x
  3. Step 3: Cross multiply
    583.50x = 803.86 × 406.16
  4. Step 4: Simplify right side
    583.50x = 326,491.76
  5. Step 5: Solve for x
    x = 326,491.76/583.50
  6. Step 6: Final answer
    x = 559.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.