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Finding the Fourth Proportional to 654.03, 978.56 and 403.93

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Solution

The fourth proportional to 654.03, 978.56 and 403.93 is: 604.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.03 : 978.56 = 403.93 : x
  2. Step 2: Convert to fraction form
    654.03/978.56 = 403.93/x
  3. Step 3: Cross multiply
    654.03x = 978.56 × 403.93
  4. Step 4: Simplify right side
    654.03x = 395,264.85
  5. Step 5: Solve for x
    x = 395,264.85/654.03
  6. Step 6: Final answer
    x = 604.35

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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.