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Finding the Fourth Proportional to 830.77, 1,246.33 and 253.63

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Solution

The fourth proportional to 830.77, 1,246.33 and 253.63 is: 380.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.77 : 1,246.33 = 253.63 : x
  2. Step 2: Convert to fraction form
    830.77/1,246.33 = 253.63/x
  3. Step 3: Cross multiply
    830.77x = 1,246.33 × 253.63
  4. Step 4: Simplify right side
    830.77x = 316,106.68
  5. Step 5: Solve for x
    x = 316,106.68/830.77
  6. Step 6: Final answer
    x = 380.50

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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.