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Finding the Fourth Proportional to 581.62, 803.10 and 450.40

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Solution

The fourth proportional to 581.62, 803.10 and 450.40 is: 621.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.62 : 803.10 = 450.40 : x
  2. Step 2: Convert to fraction form
    581.62/803.10 = 450.40/x
  3. Step 3: Cross multiply
    581.62x = 803.10 × 450.40
  4. Step 4: Simplify right side
    581.62x = 361,716.24
  5. Step 5: Solve for x
    x = 361,716.24/581.62
  6. Step 6: Final answer
    x = 621.91

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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.