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Finding the Fourth Proportional to 565.01, 778.98 and 465.08

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Solution

The fourth proportional to 565.01, 778.98 and 465.08 is: 641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.01 : 778.98 = 465.08 : x
  2. Step 2: Convert to fraction form
    565.01/778.98 = 465.08/x
  3. Step 3: Cross multiply
    565.01x = 778.98 × 465.08
  4. Step 4: Simplify right side
    565.01x = 362,285.87
  5. Step 5: Solve for x
    x = 362,285.87/565.01
  6. Step 6: Final answer
    x = 641.20

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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.