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Finding the Fourth Proportional to 541.35, 810 and 432

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Solution

The fourth proportional to 541.35, 810 and 432 is: 646.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.35 : 810 = 432 : x
  2. Step 2: Convert to fraction form
    541.35/810 = 432/x
  3. Step 3: Cross multiply
    541.35x = 810 × 432
  4. Step 4: Simplify right side
    541.35x = 349,920
  5. Step 5: Solve for x
    x = 349,920/541.35
  6. Step 6: Final answer
    x = 646.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.