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Finding the Fourth Proportional to 612.47, 845.61 and 472.34

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Solution

The fourth proportional to 612.47, 845.61 and 472.34 is: 652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.47 : 845.61 = 472.34 : x
  2. Step 2: Convert to fraction form
    612.47/845.61 = 472.34/x
  3. Step 3: Cross multiply
    612.47x = 845.61 × 472.34
  4. Step 4: Simplify right side
    612.47x = 399,411.20
  5. Step 5: Solve for x
    x = 399,411.20/612.47
  6. Step 6: Final answer
    x = 652.14

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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.