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Finding the Fourth Proportional to 654.69, 985.60 and 597.28

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Solution

The fourth proportional to 654.69, 985.60 and 597.28 is: 899.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.69 : 985.60 = 597.28 : x
  2. Step 2: Convert to fraction form
    654.69/985.60 = 597.28/x
  3. Step 3: Cross multiply
    654.69x = 985.60 × 597.28
  4. Step 4: Simplify right side
    654.69x = 588,679.17
  5. Step 5: Solve for x
    x = 588,679.17/654.69
  6. Step 6: Final answer
    x = 899.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.