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Finding the Fourth Proportional to 713.94, 985.14 and 419.16

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Solution

The fourth proportional to 713.94, 985.14 and 419.16 is: 578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.94 : 985.14 = 419.16 : x
  2. Step 2: Convert to fraction form
    713.94/985.14 = 419.16/x
  3. Step 3: Cross multiply
    713.94x = 985.14 × 419.16
  4. Step 4: Simplify right side
    713.94x = 412,931.28
  5. Step 5: Solve for x
    x = 412,931.28/713.94
  6. Step 6: Final answer
    x = 578.38

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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.