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Finding the Fourth Proportional to 566.28, 780.98 and 369.86

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Solution

The fourth proportional to 566.28, 780.98 and 369.86 is: 510.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.28 : 780.98 = 369.86 : x
  2. Step 2: Convert to fraction form
    566.28/780.98 = 369.86/x
  3. Step 3: Cross multiply
    566.28x = 780.98 × 369.86
  4. Step 4: Simplify right side
    566.28x = 288,847.51
  5. Step 5: Solve for x
    x = 288,847.51/566.28
  6. Step 6: Final answer
    x = 510.08

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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.