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Finding the Fourth Proportional to 583.02, 878.42 and 527.50

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Solution

The fourth proportional to 583.02, 878.42 and 527.50 is: 794.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.02 : 878.42 = 527.50 : x
  2. Step 2: Convert to fraction form
    583.02/878.42 = 527.50/x
  3. Step 3: Cross multiply
    583.02x = 878.42 × 527.50
  4. Step 4: Simplify right side
    583.02x = 463,366.55
  5. Step 5: Solve for x
    x = 463,366.55/583.02
  6. Step 6: Final answer
    x = 794.77

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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.