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Finding the Fourth Proportional to 589.32, 812.14 and 432

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Solution

The fourth proportional to 589.32, 812.14 and 432 is: 595.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.32 : 812.14 = 432 : x
  2. Step 2: Convert to fraction form
    589.32/812.14 = 432/x
  3. Step 3: Cross multiply
    589.32x = 812.14 × 432
  4. Step 4: Simplify right side
    589.32x = 350,844.48
  5. Step 5: Solve for x
    x = 350,844.48/589.32
  6. Step 6: Final answer
    x = 595.34

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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.