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Finding the Fourth Proportional to 561.65, 841.78 and 438.63

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Solution

The fourth proportional to 561.65, 841.78 and 438.63 is: 657.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.65 : 841.78 = 438.63 : x
  2. Step 2: Convert to fraction form
    561.65/841.78 = 438.63/x
  3. Step 3: Cross multiply
    561.65x = 841.78 × 438.63
  4. Step 4: Simplify right side
    561.65x = 369,228.86
  5. Step 5: Solve for x
    x = 369,228.86/561.65
  6. Step 6: Final answer
    x = 657.40

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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.