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Finding the Fourth Proportional to 580.10, 801.70 and 570.38

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Solution

The fourth proportional to 580.10, 801.70 and 570.38 is: 788.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.10 : 801.70 = 570.38 : x
  2. Step 2: Convert to fraction form
    580.10/801.70 = 570.38/x
  3. Step 3: Cross multiply
    580.10x = 801.70 × 570.38
  4. Step 4: Simplify right side
    580.10x = 457,268.21
  5. Step 5: Solve for x
    x = 457,268.21/580.10
  6. Step 6: Final answer
    x = 788.26

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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.