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Finding the Fourth Proportional to 582.45, 803.80 and 316.91

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Solution

The fourth proportional to 582.45, 803.80 and 316.91 is: 437.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.45 : 803.80 = 316.91 : x
  2. Step 2: Convert to fraction form
    582.45/803.80 = 316.91/x
  3. Step 3: Cross multiply
    582.45x = 803.80 × 316.91
  4. Step 4: Simplify right side
    582.45x = 254,734.66
  5. Step 5: Solve for x
    x = 254,734.66/582.45
  6. Step 6: Final answer
    x = 437.35

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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.