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Finding the Fourth Proportional to 619.94, 857.16 and 542.13

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Solution

The fourth proportional to 619.94, 857.16 and 542.13 is: 749.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.94 : 857.16 = 542.13 : x
  2. Step 2: Convert to fraction form
    619.94/857.16 = 542.13/x
  3. Step 3: Cross multiply
    619.94x = 857.16 × 542.13
  4. Step 4: Simplify right side
    619.94x = 464,692.15
  5. Step 5: Solve for x
    x = 464,692.15/619.94
  6. Step 6: Final answer
    x = 749.58

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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.