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Finding the Fourth Proportional to 654.02, 980.05 and 592.28

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Solution

The fourth proportional to 654.02, 980.05 and 592.28 is: 887.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.02 : 980.05 = 592.28 : x
  2. Step 2: Convert to fraction form
    654.02/980.05 = 592.28/x
  3. Step 3: Cross multiply
    654.02x = 980.05 × 592.28
  4. Step 4: Simplify right side
    654.02x = 580,467.20
  5. Step 5: Solve for x
    x = 580,467.20/654.02
  6. Step 6: Final answer
    x = 887.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.