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Finding the Fourth Proportional to 578.28, 870.54 and 528.06

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Solution

The fourth proportional to 578.28, 870.54 and 528.06 is: 794.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.28 : 870.54 = 528.06 : x
  2. Step 2: Convert to fraction form
    578.28/870.54 = 528.06/x
  3. Step 3: Cross multiply
    578.28x = 870.54 × 528.06
  4. Step 4: Simplify right side
    578.28x = 459,697.35
  5. Step 5: Solve for x
    x = 459,697.35/578.28
  6. Step 6: Final answer
    x = 794.94

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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.