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Finding the Fourth Proportional to 530.49, 794.85 and 375.65

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Solution

The fourth proportional to 530.49, 794.85 and 375.65 is: 562.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.49 : 794.85 = 375.65 : x
  2. Step 2: Convert to fraction form
    530.49/794.85 = 375.65/x
  3. Step 3: Cross multiply
    530.49x = 794.85 × 375.65
  4. Step 4: Simplify right side
    530.49x = 298,585.40
  5. Step 5: Solve for x
    x = 298,585.40/530.49
  6. Step 6: Final answer
    x = 562.85

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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.