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Finding the Fourth Proportional to 556.47, 829.64 and 542.27

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Solution

The fourth proportional to 556.47, 829.64 and 542.27 is: 808.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.47 : 829.64 = 542.27 : x
  2. Step 2: Convert to fraction form
    556.47/829.64 = 542.27/x
  3. Step 3: Cross multiply
    556.47x = 829.64 × 542.27
  4. Step 4: Simplify right side
    556.47x = 449,886.17
  5. Step 5: Solve for x
    x = 449,886.17/556.47
  6. Step 6: Final answer
    x = 808.46

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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.