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Finding the Fourth Proportional to 567.54, 846.63 and 485.82

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Solution

The fourth proportional to 567.54, 846.63 and 485.82 is: 724.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.54 : 846.63 = 485.82 : x
  2. Step 2: Convert to fraction form
    567.54/846.63 = 485.82/x
  3. Step 3: Cross multiply
    567.54x = 846.63 × 485.82
  4. Step 4: Simplify right side
    567.54x = 411,309.79
  5. Step 5: Solve for x
    x = 411,309.79/567.54
  6. Step 6: Final answer
    x = 724.72

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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.