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Finding the Fourth Proportional to 612.36, 842.58 and 556.20

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Solution

The fourth proportional to 612.36, 842.58 and 556.20 is: 765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.36 : 842.58 = 556.20 : x
  2. Step 2: Convert to fraction form
    612.36/842.58 = 556.20/x
  3. Step 3: Cross multiply
    612.36x = 842.58 × 556.20
  4. Step 4: Simplify right side
    612.36x = 468,643.00
  5. Step 5: Solve for x
    x = 468,643.00/612.36
  6. Step 6: Final answer
    x = 765.31

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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.