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Finding the Fourth Proportional to 623.60, 933.24 and 527.12

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Solution

The fourth proportional to 623.60, 933.24 and 527.12 is: 788.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.60 : 933.24 = 527.12 : x
  2. Step 2: Convert to fraction form
    623.60/933.24 = 527.12/x
  3. Step 3: Cross multiply
    623.60x = 933.24 × 527.12
  4. Step 4: Simplify right side
    623.60x = 491,929.47
  5. Step 5: Solve for x
    x = 491,929.47/623.60
  6. Step 6: Final answer
    x = 788.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.