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Finding the Fourth Proportional to 940.05, 1,410.08 and 392.23

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Solution

The fourth proportional to 940.05, 1,410.08 and 392.23 is: 588.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.05 : 1,410.08 = 392.23 : x
  2. Step 2: Convert to fraction form
    940.05/1,410.08 = 392.23/x
  3. Step 3: Cross multiply
    940.05x = 1,410.08 × 392.23
  4. Step 4: Simplify right side
    940.05x = 553,075.68
  5. Step 5: Solve for x
    x = 553,075.68/940.05
  6. Step 6: Final answer
    x = 588.35

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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.