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Finding the Fourth Proportional to 589.19, 812.72 and 390.02

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Solution

The fourth proportional to 589.19, 812.72 and 390.02 is: 537.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.19 : 812.72 = 390.02 : x
  2. Step 2: Convert to fraction form
    589.19/812.72 = 390.02/x
  3. Step 3: Cross multiply
    589.19x = 812.72 × 390.02
  4. Step 4: Simplify right side
    589.19x = 316,972.99
  5. Step 5: Solve for x
    x = 316,972.99/589.19
  6. Step 6: Final answer
    x = 537.99

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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.