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Finding the Fourth Proportional to 440, 607.48 and 285.04

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Solution

The fourth proportional to 440, 607.48 and 285.04 is: 393.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    440 : 607.48 = 285.04 : x
  2. Step 2: Convert to fraction form
    440/607.48 = 285.04/x
  3. Step 3: Cross multiply
    440x = 607.48 × 285.04
  4. Step 4: Simplify right side
    440x = 173,156.10
  5. Step 5: Solve for x
    x = 173,156.10/440
  6. Step 6: Final answer
    x = 393.54

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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.