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Finding the Fourth Proportional to 566.76, 780.50 and 531.60

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Solution

The fourth proportional to 566.76, 780.50 and 531.60 is: 732.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.76 : 780.50 = 531.60 : x
  2. Step 2: Convert to fraction form
    566.76/780.50 = 531.60/x
  3. Step 3: Cross multiply
    566.76x = 780.50 × 531.60
  4. Step 4: Simplify right side
    566.76x = 414,911.14
  5. Step 5: Solve for x
    x = 414,911.14/566.76
  6. Step 6: Final answer
    x = 732.08

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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.