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Finding the Fourth Proportional to 803.88, 1,108.40 and 582.76

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Solution

The fourth proportional to 803.88, 1,108.40 and 582.76 is: 803.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.88 : 1,108.40 = 582.76 : x
  2. Step 2: Convert to fraction form
    803.88/1,108.40 = 582.76/x
  3. Step 3: Cross multiply
    803.88x = 1,108.40 × 582.76
  4. Step 4: Simplify right side
    803.88x = 645,931.18
  5. Step 5: Solve for x
    x = 645,931.18/803.88
  6. Step 6: Final answer
    x = 803.52

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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.