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Finding the Fourth Proportional to 1,411.51, 2,117.47 and 437.69

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Solution

The fourth proportional to 1,411.51, 2,117.47 and 437.69 is: 656.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.51 : 2,117.47 = 437.69 : x
  2. Step 2: Convert to fraction form
    1,411.51/2,117.47 = 437.69/x
  3. Step 3: Cross multiply
    1,411.51x = 2,117.47 × 437.69
  4. Step 4: Simplify right side
    1,411.51x = 926,795.44
  5. Step 5: Solve for x
    x = 926,795.44/1,411.51
  6. Step 6: Final answer
    x = 656.60

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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.