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Finding the Fourth Proportional to 522.04, 721.40 and 397.60

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Solution

The fourth proportional to 522.04, 721.40 and 397.60 is: 549.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.04 : 721.40 = 397.60 : x
  2. Step 2: Convert to fraction form
    522.04/721.40 = 397.60/x
  3. Step 3: Cross multiply
    522.04x = 721.40 × 397.60
  4. Step 4: Simplify right side
    522.04x = 286,828.64
  5. Step 5: Solve for x
    x = 286,828.64/522.04
  6. Step 6: Final answer
    x = 549.44

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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.