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Finding the Fourth Proportional to 590.31, 812.64 and 512.67

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Solution

The fourth proportional to 590.31, 812.64 and 512.67 is: 705.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.31 : 812.64 = 512.67 : x
  2. Step 2: Convert to fraction form
    590.31/812.64 = 512.67/x
  3. Step 3: Cross multiply
    590.31x = 812.64 × 512.67
  4. Step 4: Simplify right side
    590.31x = 416,616.15
  5. Step 5: Solve for x
    x = 416,616.15/590.31
  6. Step 6: Final answer
    x = 705.76

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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.