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Finding the Fourth Proportional to 567.49, 783.54 and 505.23

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Solution

The fourth proportional to 567.49, 783.54 and 505.23 is: 697.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.49 : 783.54 = 505.23 : x
  2. Step 2: Convert to fraction form
    567.49/783.54 = 505.23/x
  3. Step 3: Cross multiply
    567.49x = 783.54 × 505.23
  4. Step 4: Simplify right side
    567.49x = 395,867.91
  5. Step 5: Solve for x
    x = 395,867.91/567.49
  6. Step 6: Final answer
    x = 697.58

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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.