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Finding the Fourth Proportional to 530.84, 733.25 and 408.01

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Solution

The fourth proportional to 530.84, 733.25 and 408.01 is: 563.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.84 : 733.25 = 408.01 : x
  2. Step 2: Convert to fraction form
    530.84/733.25 = 408.01/x
  3. Step 3: Cross multiply
    530.84x = 733.25 × 408.01
  4. Step 4: Simplify right side
    530.84x = 299,167.63
  5. Step 5: Solve for x
    x = 299,167.63/530.84
  6. Step 6: Final answer
    x = 563.58

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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.