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Finding the Fourth Proportional to 795.22, 1,193.34 and 430.27

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Solution

The fourth proportional to 795.22, 1,193.34 and 430.27 is: 645.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.22 : 1,193.34 = 430.27 : x
  2. Step 2: Convert to fraction form
    795.22/1,193.34 = 430.27/x
  3. Step 3: Cross multiply
    795.22x = 1,193.34 × 430.27
  4. Step 4: Simplify right side
    795.22x = 513,458.40
  5. Step 5: Solve for x
    x = 513,458.40/795.22
  6. Step 6: Final answer
    x = 645.68

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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.