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Finding the Fourth Proportional to 590.18, 814.54 and 424.94

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Solution

The fourth proportional to 590.18, 814.54 and 424.94 is: 586.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.18 : 814.54 = 424.94 : x
  2. Step 2: Convert to fraction form
    590.18/814.54 = 424.94/x
  3. Step 3: Cross multiply
    590.18x = 814.54 × 424.94
  4. Step 4: Simplify right side
    590.18x = 346,130.63
  5. Step 5: Solve for x
    x = 346,130.63/590.18
  6. Step 6: Final answer
    x = 586.48

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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.