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Finding the Fourth Proportional to 566.01, 780.86 and 344.93

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Solution

The fourth proportional to 566.01, 780.86 and 344.93 is: 475.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.01 : 780.86 = 344.93 : x
  2. Step 2: Convert to fraction form
    566.01/780.86 = 344.93/x
  3. Step 3: Cross multiply
    566.01x = 780.86 × 344.93
  4. Step 4: Simplify right side
    566.01x = 269,342.04
  5. Step 5: Solve for x
    x = 269,342.04/566.01
  6. Step 6: Final answer
    x = 475.86

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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.