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Finding the Fourth Proportional to 942.84, 1,412.34 and 430.20

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Solution

The fourth proportional to 942.84, 1,412.34 and 430.20 is: 644.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.84 : 1,412.34 = 430.20 : x
  2. Step 2: Convert to fraction form
    942.84/1,412.34 = 430.20/x
  3. Step 3: Cross multiply
    942.84x = 1,412.34 × 430.20
  4. Step 4: Simplify right side
    942.84x = 607,588.67
  5. Step 5: Solve for x
    x = 607,588.67/942.84
  6. Step 6: Final answer
    x = 644.42

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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.