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Finding the Fourth Proportional to 614.40, 920.78 and 549.32

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Solution

The fourth proportional to 614.40, 920.78 and 549.32 is: 823.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.40 : 920.78 = 549.32 : x
  2. Step 2: Convert to fraction form
    614.40/920.78 = 549.32/x
  3. Step 3: Cross multiply
    614.40x = 920.78 × 549.32
  4. Step 4: Simplify right side
    614.40x = 505,802.87
  5. Step 5: Solve for x
    x = 505,802.87/614.40
  6. Step 6: Final answer
    x = 823.25

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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.