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Finding the Fourth Proportional to 940.16, 1,410.24 and 420.32

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Solution

The fourth proportional to 940.16, 1,410.24 and 420.32 is: 630.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.16 : 1,410.24 = 420.32 : x
  2. Step 2: Convert to fraction form
    940.16/1,410.24 = 420.32/x
  3. Step 3: Cross multiply
    940.16x = 1,410.24 × 420.32
  4. Step 4: Simplify right side
    940.16x = 592,752.08
  5. Step 5: Solve for x
    x = 592,752.08/940.16
  6. Step 6: Final answer
    x = 630.48

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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.