Home / 1,314.76-1,972.14-437.49

Finding the Fourth Proportional to 1,314.76, 1,972.14 and 437.49

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Solution

The fourth proportional to 1,314.76, 1,972.14 and 437.49 is: 656.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.76 : 1,972.14 = 437.49 : x
  2. Step 2: Convert to fraction form
    1,314.76/1,972.14 = 437.49/x
  3. Step 3: Cross multiply
    1,314.76x = 1,972.14 × 437.49
  4. Step 4: Simplify right side
    1,314.76x = 862,784.41
  5. Step 5: Solve for x
    x = 862,784.41/1,314.76
  6. Step 6: Final answer
    x = 656.23

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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.