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Finding the Fourth Proportional to 582.35, 803.84 and 416.66

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Solution

The fourth proportional to 582.35, 803.84 and 416.66 is: 575.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.35 : 803.84 = 416.66 : x
  2. Step 2: Convert to fraction form
    582.35/803.84 = 416.66/x
  3. Step 3: Cross multiply
    582.35x = 803.84 × 416.66
  4. Step 4: Simplify right side
    582.35x = 334,921.87
  5. Step 5: Solve for x
    x = 334,921.87/582.35
  6. Step 6: Final answer
    x = 575.13

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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.