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Finding the Fourth Proportional to 530.24, 793.68 and 381.74

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Solution

The fourth proportional to 530.24, 793.68 and 381.74 is: 571.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.24 : 793.68 = 381.74 : x
  2. Step 2: Convert to fraction form
    530.24/793.68 = 381.74/x
  3. Step 3: Cross multiply
    530.24x = 793.68 × 381.74
  4. Step 4: Simplify right side
    530.24x = 302,979.40
  5. Step 5: Solve for x
    x = 302,979.40/530.24
  6. Step 6: Final answer
    x = 571.40

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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.