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Finding the Fourth Proportional to 710.34, 1,065.50 and 299.48

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Solution

The fourth proportional to 710.34, 1,065.50 and 299.48 is: 449.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.34 : 1,065.50 = 299.48 : x
  2. Step 2: Convert to fraction form
    710.34/1,065.50 = 299.48/x
  3. Step 3: Cross multiply
    710.34x = 1,065.50 × 299.48
  4. Step 4: Simplify right side
    710.34x = 319,102.41
  5. Step 5: Solve for x
    x = 319,102.41/710.34
  6. Step 6: Final answer
    x = 449.22

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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.