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Finding the Fourth Proportional to 580.07, 800.20 and 393.57

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Solution

The fourth proportional to 580.07, 800.20 and 393.57 is: 542.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.07 : 800.20 = 393.57 : x
  2. Step 2: Convert to fraction form
    580.07/800.20 = 393.57/x
  3. Step 3: Cross multiply
    580.07x = 800.20 × 393.57
  4. Step 4: Simplify right side
    580.07x = 314,934.71
  5. Step 5: Solve for x
    x = 314,934.71/580.07
  6. Step 6: Final answer
    x = 542.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.