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Finding the Fourth Proportional to 710.06, 1,063.72 and 465.84

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Solution

The fourth proportional to 710.06, 1,063.72 and 465.84 is: 697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.06 : 1,063.72 = 465.84 : x
  2. Step 2: Convert to fraction form
    710.06/1,063.72 = 465.84/x
  3. Step 3: Cross multiply
    710.06x = 1,063.72 × 465.84
  4. Step 4: Simplify right side
    710.06x = 495,523.32
  5. Step 5: Solve for x
    x = 495,523.32/710.06
  6. Step 6: Final answer
    x = 697.86

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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.