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Finding the Fourth Proportional to 530.50, 794.21 and 394.15

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Solution

The fourth proportional to 530.50, 794.21 and 394.15 is: 590.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.50 : 794.21 = 394.15 : x
  2. Step 2: Convert to fraction form
    530.50/794.21 = 394.15/x
  3. Step 3: Cross multiply
    530.50x = 794.21 × 394.15
  4. Step 4: Simplify right side
    530.50x = 313,035.40
  5. Step 5: Solve for x
    x = 313,035.40/530.50
  6. Step 6: Final answer
    x = 590.08

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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.