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Finding the Fourth Proportional to 472.02, 651.13 and 285.40

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Solution

The fourth proportional to 472.02, 651.13 and 285.40 is: 393.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.02 : 651.13 = 285.40 : x
  2. Step 2: Convert to fraction form
    472.02/651.13 = 285.40/x
  3. Step 3: Cross multiply
    472.02x = 651.13 × 285.40
  4. Step 4: Simplify right side
    472.02x = 185,832.50
  5. Step 5: Solve for x
    x = 185,832.50/472.02
  6. Step 6: Final answer
    x = 393.70

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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.