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Finding the Fourth Proportional to 596.19, 821.88 and 430.14

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Solution

The fourth proportional to 596.19, 821.88 and 430.14 is: 592.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.19 : 821.88 = 430.14 : x
  2. Step 2: Convert to fraction form
    596.19/821.88 = 430.14/x
  3. Step 3: Cross multiply
    596.19x = 821.88 × 430.14
  4. Step 4: Simplify right side
    596.19x = 353,526.55
  5. Step 5: Solve for x
    x = 353,526.55/596.19
  6. Step 6: Final answer
    x = 592.97

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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.