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Finding the Fourth Proportional to 567.91, 783.57 and 469.36

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Solution

The fourth proportional to 567.91, 783.57 and 469.36 is: 647.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.91 : 783.57 = 469.36 : x
  2. Step 2: Convert to fraction form
    567.91/783.57 = 469.36/x
  3. Step 3: Cross multiply
    567.91x = 783.57 × 469.36
  4. Step 4: Simplify right side
    567.91x = 367,776.42
  5. Step 5: Solve for x
    x = 367,776.42/567.91
  6. Step 6: Final answer
    x = 647.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.