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Finding the Fourth Proportional to 565.64, 783.86 and 558.68

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Solution

The fourth proportional to 565.64, 783.86 and 558.68 is: 774.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.64 : 783.86 = 558.68 : x
  2. Step 2: Convert to fraction form
    565.64/783.86 = 558.68/x
  3. Step 3: Cross multiply
    565.64x = 783.86 × 558.68
  4. Step 4: Simplify right side
    565.64x = 437,926.90
  5. Step 5: Solve for x
    x = 437,926.90/565.64
  6. Step 6: Final answer
    x = 774.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.