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Finding the Fourth Proportional to 567.69, 846.26 and 561.21

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Solution

The fourth proportional to 567.69, 846.26 and 561.21 is: 836.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.69 : 846.26 = 561.21 : x
  2. Step 2: Convert to fraction form
    567.69/846.26 = 561.21/x
  3. Step 3: Cross multiply
    567.69x = 846.26 × 561.21
  4. Step 4: Simplify right side
    567.69x = 474,926.77
  5. Step 5: Solve for x
    x = 474,926.77/567.69
  6. Step 6: Final answer
    x = 836.60

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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.