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Finding the Fourth Proportional to 565.84, 778.98 and 507.52

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Solution

The fourth proportional to 565.84, 778.98 and 507.52 is: 698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.84 : 778.98 = 507.52 : x
  2. Step 2: Convert to fraction form
    565.84/778.98 = 507.52/x
  3. Step 3: Cross multiply
    565.84x = 778.98 × 507.52
  4. Step 4: Simplify right side
    565.84x = 395,347.93
  5. Step 5: Solve for x
    x = 395,347.93/565.84
  6. Step 6: Final answer
    x = 698.69

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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.