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Finding the Fourth Proportional to 491.16, 737.61 and 470.98

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Solution

The fourth proportional to 491.16, 737.61 and 470.98 is: 707.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.16 : 737.61 = 470.98 : x
  2. Step 2: Convert to fraction form
    491.16/737.61 = 470.98/x
  3. Step 3: Cross multiply
    491.16x = 737.61 × 470.98
  4. Step 4: Simplify right side
    491.16x = 347,399.56
  5. Step 5: Solve for x
    x = 347,399.56/491.16
  6. Step 6: Final answer
    x = 707.30

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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.