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Finding the Fourth Proportional to 531.84, 734.09 and 322.01

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Solution

The fourth proportional to 531.84, 734.09 and 322.01 is: 444.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.84 : 734.09 = 322.01 : x
  2. Step 2: Convert to fraction form
    531.84/734.09 = 322.01/x
  3. Step 3: Cross multiply
    531.84x = 734.09 × 322.01
  4. Step 4: Simplify right side
    531.84x = 236,384.32
  5. Step 5: Solve for x
    x = 236,384.32/531.84
  6. Step 6: Final answer
    x = 444.47

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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.