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Finding the Fourth Proportional to 555.66, 770.76 and 542.00

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Solution

The fourth proportional to 555.66, 770.76 and 542.00 is: 751.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.66 : 770.76 = 542.00 : x
  2. Step 2: Convert to fraction form
    555.66/770.76 = 542.00/x
  3. Step 3: Cross multiply
    555.66x = 770.76 × 542.00
  4. Step 4: Simplify right side
    555.66x = 417,748.07
  5. Step 5: Solve for x
    x = 417,748.07/555.66
  6. Step 6: Final answer
    x = 751.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.