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Finding the Fourth Proportional to 923.54, 1,274.51 and 503.90

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Solution

The fourth proportional to 923.54, 1,274.51 and 503.90 is: 695.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.54 : 1,274.51 = 503.90 : x
  2. Step 2: Convert to fraction form
    923.54/1,274.51 = 503.90/x
  3. Step 3: Cross multiply
    923.54x = 1,274.51 × 503.90
  4. Step 4: Simplify right side
    923.54x = 642,223.07
  5. Step 5: Solve for x
    x = 642,223.07/923.54
  6. Step 6: Final answer
    x = 695.39

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.