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Finding the Fourth Proportional to 940.66, 1,298.12 and 521.02

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Solution

The fourth proportional to 940.66, 1,298.12 and 521.02 is: 719.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.66 : 1,298.12 = 521.02 : x
  2. Step 2: Convert to fraction form
    940.66/1,298.12 = 521.02/x
  3. Step 3: Cross multiply
    940.66x = 1,298.12 × 521.02
  4. Step 4: Simplify right side
    940.66x = 676,346.48
  5. Step 5: Solve for x
    x = 676,346.48/940.66
  6. Step 6: Final answer
    x = 719.01

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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.