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Finding the Fourth Proportional to 567.06, 778.80 and 501.48

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Solution

The fourth proportional to 567.06, 778.80 and 501.48 is: 688.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.06 : 778.80 = 501.48 : x
  2. Step 2: Convert to fraction form
    567.06/778.80 = 501.48/x
  3. Step 3: Cross multiply
    567.06x = 778.80 × 501.48
  4. Step 4: Simplify right side
    567.06x = 390,552.62
  5. Step 5: Solve for x
    x = 390,552.62/567.06
  6. Step 6: Final answer
    x = 688.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.