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Finding the Fourth Proportional to 555.03, 765.30 and 414.91

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Solution

The fourth proportional to 555.03, 765.30 and 414.91 is: 572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.03 : 765.30 = 414.91 : x
  2. Step 2: Convert to fraction form
    555.03/765.30 = 414.91/x
  3. Step 3: Cross multiply
    555.03x = 765.30 × 414.91
  4. Step 4: Simplify right side
    555.03x = 317,528.71
  5. Step 5: Solve for x
    x = 317,528.71/555.03
  6. Step 6: Final answer
    x = 572.09

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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.