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Finding the Fourth Proportional to 623.09, 935.75 and 591.20

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Solution

The fourth proportional to 623.09, 935.75 and 591.20 is: 887.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.09 : 935.75 = 591.20 : x
  2. Step 2: Convert to fraction form
    623.09/935.75 = 591.20/x
  3. Step 3: Cross multiply
    623.09x = 935.75 × 591.20
  4. Step 4: Simplify right side
    623.09x = 553,215.71
  5. Step 5: Solve for x
    x = 553,215.71/623.09
  6. Step 6: Final answer
    x = 887.85

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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.