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Finding the Fourth Proportional to 684.50, 1,024.55 and 375.59

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Solution

The fourth proportional to 684.50, 1,024.55 and 375.59 is: 562.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.50 : 1,024.55 = 375.59 : x
  2. Step 2: Convert to fraction form
    684.50/1,024.55 = 375.59/x
  3. Step 3: Cross multiply
    684.50x = 1,024.55 × 375.59
  4. Step 4: Simplify right side
    684.50x = 384,807.06
  5. Step 5: Solve for x
    x = 384,807.06/684.50
  6. Step 6: Final answer
    x = 562.17

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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.