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Finding the Fourth Proportional to 940.42, 1,411.04 and 507.88

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Solution

The fourth proportional to 940.42, 1,411.04 and 507.88 is: 762.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.42 : 1,411.04 = 507.88 : x
  2. Step 2: Convert to fraction form
    940.42/1,411.04 = 507.88/x
  3. Step 3: Cross multiply
    940.42x = 1,411.04 × 507.88
  4. Step 4: Simplify right side
    940.42x = 716,639.00
  5. Step 5: Solve for x
    x = 716,639.00/940.42
  6. Step 6: Final answer
    x = 762.04

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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.