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Finding the Fourth Proportional to 530.19, 792.91 and 398.52

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Solution

The fourth proportional to 530.19, 792.91 and 398.52 is: 595.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.19 : 792.91 = 398.52 : x
  2. Step 2: Convert to fraction form
    530.19/792.91 = 398.52/x
  3. Step 3: Cross multiply
    530.19x = 792.91 × 398.52
  4. Step 4: Simplify right side
    530.19x = 315,990.49
  5. Step 5: Solve for x
    x = 315,990.49/530.19
  6. Step 6: Final answer
    x = 595.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.