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Finding the Fourth Proportional to 654.84, 901.80 and 538.20

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Solution

The fourth proportional to 654.84, 901.80 and 538.20 is: 741.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.84 : 901.80 = 538.20 : x
  2. Step 2: Convert to fraction form
    654.84/901.80 = 538.20/x
  3. Step 3: Cross multiply
    654.84x = 901.80 × 538.20
  4. Step 4: Simplify right side
    654.84x = 485,348.76
  5. Step 5: Solve for x
    x = 485,348.76/654.84
  6. Step 6: Final answer
    x = 741.17

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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.