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Finding the Fourth Proportional to 580.30, 801.21 and 405.70

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Solution

The fourth proportional to 580.30, 801.21 and 405.70 is: 560.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.30 : 801.21 = 405.70 : x
  2. Step 2: Convert to fraction form
    580.30/801.21 = 405.70/x
  3. Step 3: Cross multiply
    580.30x = 801.21 × 405.70
  4. Step 4: Simplify right side
    580.30x = 325,050.90
  5. Step 5: Solve for x
    x = 325,050.90/580.30
  6. Step 6: Final answer
    x = 560.14

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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.