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Finding the Fourth Proportional to 581.95, 803.10 and 320.01

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Solution

The fourth proportional to 581.95, 803.10 and 320.01 is: 441.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.95 : 803.10 = 320.01 : x
  2. Step 2: Convert to fraction form
    581.95/803.10 = 320.01/x
  3. Step 3: Cross multiply
    581.95x = 803.10 × 320.01
  4. Step 4: Simplify right side
    581.95x = 257,000.03
  5. Step 5: Solve for x
    x = 257,000.03/581.95
  6. Step 6: Final answer
    x = 441.62

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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.