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Finding the Fourth Proportional to 561.50, 844.14 and 440

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Solution

The fourth proportional to 561.50, 844.14 and 440 is: 661.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.50 : 844.14 = 440 : x
  2. Step 2: Convert to fraction form
    561.50/844.14 = 440/x
  3. Step 3: Cross multiply
    561.50x = 844.14 × 440
  4. Step 4: Simplify right side
    561.50x = 371,421.60
  5. Step 5: Solve for x
    x = 371,421.60/561.50
  6. Step 6: Final answer
    x = 661.48

Related Problems

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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.