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Finding the Fourth Proportional to 710.75, 1,064.10 and 490.70

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Solution

The fourth proportional to 710.75, 1,064.10 and 490.70 is: 734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.75 : 1,064.10 = 490.70 : x
  2. Step 2: Convert to fraction form
    710.75/1,064.10 = 490.70/x
  3. Step 3: Cross multiply
    710.75x = 1,064.10 × 490.70
  4. Step 4: Simplify right side
    710.75x = 522,153.87
  5. Step 5: Solve for x
    x = 522,153.87/710.75
  6. Step 6: Final answer
    x = 734.65

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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.