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Finding the Fourth Proportional to 940.51, 1,410.67 and 420.04

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Solution

The fourth proportional to 940.51, 1,410.67 and 420.04 is: 630.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.51 : 1,410.67 = 420.04 : x
  2. Step 2: Convert to fraction form
    940.51/1,410.67 = 420.04/x
  3. Step 3: Cross multiply
    940.51x = 1,410.67 × 420.04
  4. Step 4: Simplify right side
    940.51x = 592,537.83
  5. Step 5: Solve for x
    x = 592,537.83/940.51
  6. Step 6: Final answer
    x = 630.02

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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.