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Finding the Fourth Proportional to 1,213.61, 1,674.77 and 689.63

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Solution

The fourth proportional to 1,213.61, 1,674.77 and 689.63 is: 951.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.61 : 1,674.77 = 689.63 : x
  2. Step 2: Convert to fraction form
    1,213.61/1,674.77 = 689.63/x
  3. Step 3: Cross multiply
    1,213.61x = 1,674.77 × 689.63
  4. Step 4: Simplify right side
    1,213.61x = 1,154,959.81
  5. Step 5: Solve for x
    x = 1,154,959.81/1,213.61
  6. Step 6: Final answer
    x = 951.68

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.