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Finding the Fourth Proportional to 561.52, 841.86 and 378.40

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Solution

The fourth proportional to 561.52, 841.86 and 378.40 is: 567.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.52 : 841.86 = 378.40 : x
  2. Step 2: Convert to fraction form
    561.52/841.86 = 378.40/x
  3. Step 3: Cross multiply
    561.52x = 841.86 × 378.40
  4. Step 4: Simplify right side
    561.52x = 318,559.82
  5. Step 5: Solve for x
    x = 318,559.82/561.52
  6. Step 6: Final answer
    x = 567.32

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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.