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Finding the Fourth Proportional to 555.48, 765.90 and 506.16

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Solution

The fourth proportional to 555.48, 765.90 and 506.16 is: 697.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.48 : 765.90 = 506.16 : x
  2. Step 2: Convert to fraction form
    555.48/765.90 = 506.16/x
  3. Step 3: Cross multiply
    555.48x = 765.90 × 506.16
  4. Step 4: Simplify right side
    555.48x = 387,667.94
  5. Step 5: Solve for x
    x = 387,667.94/555.48
  6. Step 6: Final answer
    x = 697.90

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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.