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Finding the Fourth Proportional to 1,262.50, 1,894.60 and 440.77

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Solution

The fourth proportional to 1,262.50, 1,894.60 and 440.77 is: 661.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.50 : 1,894.60 = 440.77 : x
  2. Step 2: Convert to fraction form
    1,262.50/1,894.60 = 440.77/x
  3. Step 3: Cross multiply
    1,262.50x = 1,894.60 × 440.77
  4. Step 4: Simplify right side
    1,262.50x = 835,082.84
  5. Step 5: Solve for x
    x = 835,082.84/1,262.50
  6. Step 6: Final answer
    x = 661.45

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Half scale
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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.