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Finding the Fourth Proportional to 710.25, 1,064.19 and 450.54

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Solution

The fourth proportional to 710.25, 1,064.19 and 450.54 is: 675.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.25 : 1,064.19 = 450.54 : x
  2. Step 2: Convert to fraction form
    710.25/1,064.19 = 450.54/x
  3. Step 3: Cross multiply
    710.25x = 1,064.19 × 450.54
  4. Step 4: Simplify right side
    710.25x = 479,460.16
  5. Step 5: Solve for x
    x = 479,460.16/710.25
  6. Step 6: Final answer
    x = 675.06

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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.