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Finding the Fourth Proportional to 590.06, 812.76 and 415.10

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Solution

The fourth proportional to 590.06, 812.76 and 415.10 is: 571.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.06 : 812.76 = 415.10 : x
  2. Step 2: Convert to fraction form
    590.06/812.76 = 415.10/x
  3. Step 3: Cross multiply
    590.06x = 812.76 × 415.10
  4. Step 4: Simplify right side
    590.06x = 337,376.68
  5. Step 5: Solve for x
    x = 337,376.68/590.06
  6. Step 6: Final answer
    x = 571.77

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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.