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Finding the Fourth Proportional to 940.84, 1,298.36 and 521.20

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Solution

The fourth proportional to 940.84, 1,298.36 and 521.20 is: 719.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.84 : 1,298.36 = 521.20 : x
  2. Step 2: Convert to fraction form
    940.84/1,298.36 = 521.20/x
  3. Step 3: Cross multiply
    940.84x = 1,298.36 × 521.20
  4. Step 4: Simplify right side
    940.84x = 676,701.59
  5. Step 5: Solve for x
    x = 676,701.59/940.84
  6. Step 6: Final answer
    x = 719.25

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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.