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Finding the Fourth Proportional to 566.10, 780.84 and 456.75

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Solution

The fourth proportional to 566.10, 780.84 and 456.75 is: 630.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.10 : 780.84 = 456.75 : x
  2. Step 2: Convert to fraction form
    566.10/780.84 = 456.75/x
  3. Step 3: Cross multiply
    566.10x = 780.84 × 456.75
  4. Step 4: Simplify right side
    566.10x = 356,648.67
  5. Step 5: Solve for x
    x = 356,648.67/566.10
  6. Step 6: Final answer
    x = 630.01

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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.