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Finding the Fourth Proportional to 940.90, 1,298.35 and 542.50

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Solution

The fourth proportional to 940.90, 1,298.35 and 542.50 is: 748.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.90 : 1,298.35 = 542.50 : x
  2. Step 2: Convert to fraction form
    940.90/1,298.35 = 542.50/x
  3. Step 3: Cross multiply
    940.90x = 1,298.35 × 542.50
  4. Step 4: Simplify right side
    940.90x = 704,349.26
  5. Step 5: Solve for x
    x = 704,349.26/940.90
  6. Step 6: Final answer
    x = 748.59

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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.