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Finding the Fourth Proportional to 705.16, 972.15 and 469.12

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Solution

The fourth proportional to 705.16, 972.15 and 469.12 is: 646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.16 : 972.15 = 469.12 : x
  2. Step 2: Convert to fraction form
    705.16/972.15 = 469.12/x
  3. Step 3: Cross multiply
    705.16x = 972.15 × 469.12
  4. Step 4: Simplify right side
    705.16x = 456,058.70
  5. Step 5: Solve for x
    x = 456,058.70/705.16
  6. Step 6: Final answer
    x = 646.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.