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Finding the Fourth Proportional to 565.01, 778.97 and 368.45

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Solution

The fourth proportional to 565.01, 778.97 and 368.45 is: 507.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.01 : 778.97 = 368.45 : x
  2. Step 2: Convert to fraction form
    565.01/778.97 = 368.45/x
  3. Step 3: Cross multiply
    565.01x = 778.97 × 368.45
  4. Step 4: Simplify right side
    565.01x = 287,011.50
  5. Step 5: Solve for x
    x = 287,011.50/565.01
  6. Step 6: Final answer
    x = 507.98

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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.