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Finding the Fourth Proportional to 590.30, 812.65 and 512.67

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Solution

The fourth proportional to 590.30, 812.65 and 512.67 is: 705.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.30 : 812.65 = 512.67 : x
  2. Step 2: Convert to fraction form
    590.30/812.65 = 512.67/x
  3. Step 3: Cross multiply
    590.30x = 812.65 × 512.67
  4. Step 4: Simplify right side
    590.30x = 416,621.28
  5. Step 5: Solve for x
    x = 416,621.28/590.30
  6. Step 6: Final answer
    x = 705.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.