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Finding the Fourth Proportional to 1,669.16, 2,303.54 and 970.76

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Solution

The fourth proportional to 1,669.16, 2,303.54 and 970.76 is: 1,339.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.16 : 2,303.54 = 970.76 : x
  2. Step 2: Convert to fraction form
    1,669.16/2,303.54 = 970.76/x
  3. Step 3: Cross multiply
    1,669.16x = 2,303.54 × 970.76
  4. Step 4: Simplify right side
    1,669.16x = 2,236,184.49
  5. Step 5: Solve for x
    x = 2,236,184.49/1,669.16
  6. Step 6: Final answer
    x = 1,339.71

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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.