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Finding the Fourth Proportional to 623.32, 933.64 and 505.66

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Solution

The fourth proportional to 623.32, 933.64 and 505.66 is: 757.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.32 : 933.64 = 505.66 : x
  2. Step 2: Convert to fraction form
    623.32/933.64 = 505.66/x
  3. Step 3: Cross multiply
    623.32x = 933.64 × 505.66
  4. Step 4: Simplify right side
    623.32x = 472,104.40
  5. Step 5: Solve for x
    x = 472,104.40/623.32
  6. Step 6: Final answer
    x = 757.40

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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.