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Finding the Fourth Proportional to 1,690.76, 2,332.97 and 944.68

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Solution

The fourth proportional to 1,690.76, 2,332.97 and 944.68 is: 1,303.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.76 : 2,332.97 = 944.68 : x
  2. Step 2: Convert to fraction form
    1,690.76/2,332.97 = 944.68/x
  3. Step 3: Cross multiply
    1,690.76x = 2,332.97 × 944.68
  4. Step 4: Simplify right side
    1,690.76x = 2,203,898.43
  5. Step 5: Solve for x
    x = 2,203,898.43/1,690.76
  6. Step 6: Final answer
    x = 1,303.50

Related Problems

Find fourth proportional to 845.38, 1,166.49 and 472.34
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.