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Finding the Fourth Proportional to 612.96, 920.10 and 589.62

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Solution

The fourth proportional to 612.96, 920.10 and 589.62 is: 885.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.96 : 920.10 = 589.62 : x
  2. Step 2: Convert to fraction form
    612.96/920.10 = 589.62/x
  3. Step 3: Cross multiply
    612.96x = 920.10 × 589.62
  4. Step 4: Simplify right side
    612.96x = 542,509.36
  5. Step 5: Solve for x
    x = 542,509.36/612.96
  6. Step 6: Final answer
    x = 885.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.