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Finding the Fourth Proportional to 710.02, 1,064.62 and 276.68

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Solution

The fourth proportional to 710.02, 1,064.62 and 276.68 is: 414.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.02 : 1,064.62 = 276.68 : x
  2. Step 2: Convert to fraction form
    710.02/1,064.62 = 276.68/x
  3. Step 3: Cross multiply
    710.02x = 1,064.62 × 276.68
  4. Step 4: Simplify right side
    710.02x = 294,559.06
  5. Step 5: Solve for x
    x = 294,559.06/710.02
  6. Step 6: Final answer
    x = 414.86

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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.