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Finding the Fourth Proportional to 491.16, 730.96 and 473.88

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Solution

The fourth proportional to 491.16, 730.96 and 473.88 is: 705.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.16 : 730.96 = 473.88 : x
  2. Step 2: Convert to fraction form
    491.16/730.96 = 473.88/x
  3. Step 3: Cross multiply
    491.16x = 730.96 × 473.88
  4. Step 4: Simplify right side
    491.16x = 346,387.32
  5. Step 5: Solve for x
    x = 346,387.32/491.16
  6. Step 6: Final answer
    x = 705.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.