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Finding the Fourth Proportional to 582.35, 803.63 and 316.78

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Solution

The fourth proportional to 582.35, 803.63 and 316.78 is: 437.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.35 : 803.63 = 316.78 : x
  2. Step 2: Convert to fraction form
    582.35/803.63 = 316.78/x
  3. Step 3: Cross multiply
    582.35x = 803.63 × 316.78
  4. Step 4: Simplify right side
    582.35x = 254,573.91
  5. Step 5: Solve for x
    x = 254,573.91/582.35
  6. Step 6: Final answer
    x = 437.15

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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.