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Finding the Fourth Proportional to 927.88, 1,280.55 and 578.50

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Solution

The fourth proportional to 927.88, 1,280.55 and 578.50 is: 798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.88 : 1,280.55 = 578.50 : x
  2. Step 2: Convert to fraction form
    927.88/1,280.55 = 578.50/x
  3. Step 3: Cross multiply
    927.88x = 1,280.55 × 578.50
  4. Step 4: Simplify right side
    927.88x = 740,798.18
  5. Step 5: Solve for x
    x = 740,798.18/927.88
  6. Step 6: Final answer
    x = 798.38

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1.5x scale

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.