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Finding the Fourth Proportional to 710.76, 1,064.50 and 566.56

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Solution

The fourth proportional to 710.76, 1,064.50 and 566.56 is: 848.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.76 : 1,064.50 = 566.56 : x
  2. Step 2: Convert to fraction form
    710.76/1,064.50 = 566.56/x
  3. Step 3: Cross multiply
    710.76x = 1,064.50 × 566.56
  4. Step 4: Simplify right side
    710.76x = 603,103.12
  5. Step 5: Solve for x
    x = 603,103.12/710.76
  6. Step 6: Final answer
    x = 848.53

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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.