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Finding the Fourth Proportional to 580.88, 801.42 and 370.68

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Solution

The fourth proportional to 580.88, 801.42 and 370.68 is: 511.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.88 : 801.42 = 370.68 : x
  2. Step 2: Convert to fraction form
    580.88/801.42 = 370.68/x
  3. Step 3: Cross multiply
    580.88x = 801.42 × 370.68
  4. Step 4: Simplify right side
    580.88x = 297,070.37
  5. Step 5: Solve for x
    x = 297,070.37/580.88
  6. Step 6: Final answer
    x = 511.41

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1.5x scale

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.