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Finding the Fourth Proportional to 920.49, 1,378.38 and 509.17

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Solution

The fourth proportional to 920.49, 1,378.38 and 509.17 is: 762.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.49 : 1,378.38 = 509.17 : x
  2. Step 2: Convert to fraction form
    920.49/1,378.38 = 509.17/x
  3. Step 3: Cross multiply
    920.49x = 1,378.38 × 509.17
  4. Step 4: Simplify right side
    920.49x = 701,829.74
  5. Step 5: Solve for x
    x = 701,829.74/920.49
  6. Step 6: Final answer
    x = 762.45

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Double scale
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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.