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Finding the Fourth Proportional to 624.08, 931.78 and 563.60

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Solution

The fourth proportional to 624.08, 931.78 and 563.60 is: 841.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.08 : 931.78 = 563.60 : x
  2. Step 2: Convert to fraction form
    624.08/931.78 = 563.60/x
  3. Step 3: Cross multiply
    624.08x = 931.78 × 563.60
  4. Step 4: Simplify right side
    624.08x = 525,151.21
  5. Step 5: Solve for x
    x = 525,151.21/624.08
  6. Step 6: Final answer
    x = 841.48

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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.