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Finding the Fourth Proportional to 923.30, 1,274.15 and 524.91

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Solution

The fourth proportional to 923.30, 1,274.15 and 524.91 is: 724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.30 : 1,274.15 = 524.91 : x
  2. Step 2: Convert to fraction form
    923.30/1,274.15 = 524.91/x
  3. Step 3: Cross multiply
    923.30x = 1,274.15 × 524.91
  4. Step 4: Simplify right side
    923.30x = 668,815.39
  5. Step 5: Solve for x
    x = 668,815.39/923.30
  6. Step 6: Final answer
    x = 724.38

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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.