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Finding the Fourth Proportional to 580.01, 869.41 and 305.50

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Solution

The fourth proportional to 580.01, 869.41 and 305.50 is: 457.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.01 : 869.41 = 305.50 : x
  2. Step 2: Convert to fraction form
    580.01/869.41 = 305.50/x
  3. Step 3: Cross multiply
    580.01x = 869.41 × 305.50
  4. Step 4: Simplify right side
    580.01x = 265,601.29
  5. Step 5: Solve for x
    x = 265,601.29/580.01
  6. Step 6: Final answer
    x = 457.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.