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Finding the Fourth Proportional to 528.66, 788.58 and 463.05

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Solution

The fourth proportional to 528.66, 788.58 and 463.05 is: 690.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.66 : 788.58 = 463.05 : x
  2. Step 2: Convert to fraction form
    528.66/788.58 = 463.05/x
  3. Step 3: Cross multiply
    528.66x = 788.58 × 463.05
  4. Step 4: Simplify right side
    528.66x = 365,151.97
  5. Step 5: Solve for x
    x = 365,151.97/528.66
  6. Step 6: Final answer
    x = 690.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.