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Finding the Fourth Proportional to 474.12, 652.10 and 389.49

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Solution

The fourth proportional to 474.12, 652.10 and 389.49 is: 535.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.12 : 652.10 = 389.49 : x
  2. Step 2: Convert to fraction form
    474.12/652.10 = 389.49/x
  3. Step 3: Cross multiply
    474.12x = 652.10 × 389.49
  4. Step 4: Simplify right side
    474.12x = 253,984.48
  5. Step 5: Solve for x
    x = 253,984.48/474.12
  6. Step 6: Final answer
    x = 535.70

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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.