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Finding the Fourth Proportional to 565.64, 780.70 and 461.40

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Solution

The fourth proportional to 565.64, 780.70 and 461.40 is: 636.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.64 : 780.70 = 461.40 : x
  2. Step 2: Convert to fraction form
    565.64/780.70 = 461.40/x
  3. Step 3: Cross multiply
    565.64x = 780.70 × 461.40
  4. Step 4: Simplify right side
    565.64x = 360,214.98
  5. Step 5: Solve for x
    x = 360,214.98/565.64
  6. Step 6: Final answer
    x = 636.83

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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.