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Finding the Fourth Proportional to 590.18, 812.78 and 544.01

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Solution

The fourth proportional to 590.18, 812.78 and 544.01 is: 749.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.18 : 812.78 = 544.01 : x
  2. Step 2: Convert to fraction form
    590.18/812.78 = 544.01/x
  3. Step 3: Cross multiply
    590.18x = 812.78 × 544.01
  4. Step 4: Simplify right side
    590.18x = 442,153.66
  5. Step 5: Solve for x
    x = 442,153.66/590.18
  6. Step 6: Final answer
    x = 749.19

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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.