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Finding the Fourth Proportional to 555.04, 827.16 and 542.24

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Solution

The fourth proportional to 555.04, 827.16 and 542.24 is: 808.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.04 : 827.16 = 542.24 : x
  2. Step 2: Convert to fraction form
    555.04/827.16 = 542.24/x
  3. Step 3: Cross multiply
    555.04x = 827.16 × 542.24
  4. Step 4: Simplify right side
    555.04x = 448,519.24
  5. Step 5: Solve for x
    x = 448,519.24/555.04
  6. Step 6: Final answer
    x = 808.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.