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Finding the Fourth Proportional to 649.04, 973.55 and 162.09

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Solution

The fourth proportional to 649.04, 973.55 and 162.09 is: 243.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.04 : 973.55 = 162.09 : x
  2. Step 2: Convert to fraction form
    649.04/973.55 = 162.09/x
  3. Step 3: Cross multiply
    649.04x = 973.55 × 162.09
  4. Step 4: Simplify right side
    649.04x = 157,802.72
  5. Step 5: Solve for x
    x = 157,802.72/649.04
  6. Step 6: Final answer
    x = 243.13

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Double scale
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Similar ratio
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1.5x scale

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.