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Finding the Fourth Proportional to 590.15, 812.54 and 501.45

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Solution

The fourth proportional to 590.15, 812.54 and 501.45 is: 690.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.15 : 812.54 = 501.45 : x
  2. Step 2: Convert to fraction form
    590.15/812.54 = 501.45/x
  3. Step 3: Cross multiply
    590.15x = 812.54 × 501.45
  4. Step 4: Simplify right side
    590.15x = 407,449.44
  5. Step 5: Solve for x
    x = 407,449.44/590.15
  6. Step 6: Final answer
    x = 690.42

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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.