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Finding the Fourth Proportional to 567.48, 780.51 and 467.19

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Solution

The fourth proportional to 567.48, 780.51 and 467.19 is: 642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.48 : 780.51 = 467.19 : x
  2. Step 2: Convert to fraction form
    567.48/780.51 = 467.19/x
  3. Step 3: Cross multiply
    567.48x = 780.51 × 467.19
  4. Step 4: Simplify right side
    567.48x = 364,646.47
  5. Step 5: Solve for x
    x = 364,646.47/567.48
  6. Step 6: Final answer
    x = 642.57

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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.