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Finding the Fourth Proportional to 651.16, 898.86 and 427.18

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Solution

The fourth proportional to 651.16, 898.86 and 427.18 is: 589.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.16 : 898.86 = 427.18 : x
  2. Step 2: Convert to fraction form
    651.16/898.86 = 427.18/x
  3. Step 3: Cross multiply
    651.16x = 898.86 × 427.18
  4. Step 4: Simplify right side
    651.16x = 383,975.01
  5. Step 5: Solve for x
    x = 383,975.01/651.16
  6. Step 6: Final answer
    x = 589.68

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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.