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Finding the Fourth Proportional to 469.94, 701.50 and 431.42

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Solution

The fourth proportional to 469.94, 701.50 and 431.42 is: 644.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.94 : 701.50 = 431.42 : x
  2. Step 2: Convert to fraction form
    469.94/701.50 = 431.42/x
  3. Step 3: Cross multiply
    469.94x = 701.50 × 431.42
  4. Step 4: Simplify right side
    469.94x = 302,641.13
  5. Step 5: Solve for x
    x = 302,641.13/469.94
  6. Step 6: Final answer
    x = 644.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.