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Finding the Fourth Proportional to 654.75, 985.77 and 578.16

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Solution

The fourth proportional to 654.75, 985.77 and 578.16 is: 870.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.75 : 985.77 = 578.16 : x
  2. Step 2: Convert to fraction form
    654.75/985.77 = 578.16/x
  3. Step 3: Cross multiply
    654.75x = 985.77 × 578.16
  4. Step 4: Simplify right side
    654.75x = 569,932.78
  5. Step 5: Solve for x
    x = 569,932.78/654.75
  6. Step 6: Final answer
    x = 870.46

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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.