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Finding the Fourth Proportional to 566.19, 780.94 and 425.86

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Solution

The fourth proportional to 566.19, 780.94 and 425.86 is: 587.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.19 : 780.94 = 425.86 : x
  2. Step 2: Convert to fraction form
    566.19/780.94 = 425.86/x
  3. Step 3: Cross multiply
    566.19x = 780.94 × 425.86
  4. Step 4: Simplify right side
    566.19x = 332,569.69
  5. Step 5: Solve for x
    x = 332,569.69/566.19
  6. Step 6: Final answer
    x = 587.38

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1.5x scale

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.