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Finding the Fourth Proportional to 590.76, 814.54 and 433.33

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Solution

The fourth proportional to 590.76, 814.54 and 433.33 is: 597.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.76 : 814.54 = 433.33 : x
  2. Step 2: Convert to fraction form
    590.76/814.54 = 433.33/x
  3. Step 3: Cross multiply
    590.76x = 814.54 × 433.33
  4. Step 4: Simplify right side
    590.76x = 352,964.62
  5. Step 5: Solve for x
    x = 352,964.62/590.76
  6. Step 6: Final answer
    x = 597.48

Related Problems

Find fourth proportional to 295.38, 407.27 and 216.67
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Double scale
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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.