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Finding the Fourth Proportional to 567.32, 783 and 419.76

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Solution

The fourth proportional to 567.32, 783 and 419.76 is: 579.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.32 : 783 = 419.76 : x
  2. Step 2: Convert to fraction form
    567.32/783 = 419.76/x
  3. Step 3: Cross multiply
    567.32x = 783 × 419.76
  4. Step 4: Simplify right side
    567.32x = 328,672.08
  5. Step 5: Solve for x
    x = 328,672.08/567.32
  6. Step 6: Final answer
    x = 579.34

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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.