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Finding the Fourth Proportional to 567.76, 783.24 and 360.40

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Solution

The fourth proportional to 567.76, 783.24 and 360.40 is: 497.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.76 : 783.24 = 360.40 : x
  2. Step 2: Convert to fraction form
    567.76/783.24 = 360.40/x
  3. Step 3: Cross multiply
    567.76x = 783.24 × 360.40
  4. Step 4: Simplify right side
    567.76x = 282,279.70
  5. Step 5: Solve for x
    x = 282,279.70/567.76
  6. Step 6: Final answer
    x = 497.18

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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.