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Finding the Fourth Proportional to 566.80, 851.55 and 507.40

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Solution

The fourth proportional to 566.80, 851.55 and 507.40 is: 762.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.80 : 851.55 = 507.40 : x
  2. Step 2: Convert to fraction form
    566.80/851.55 = 507.40/x
  3. Step 3: Cross multiply
    566.80x = 851.55 × 507.40
  4. Step 4: Simplify right side
    566.80x = 432,076.47
  5. Step 5: Solve for x
    x = 432,076.47/566.80
  6. Step 6: Final answer
    x = 762.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.