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Finding the Fourth Proportional to 977.91, 1,466.93 and 284.58

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Solution

The fourth proportional to 977.91, 1,466.93 and 284.58 is: 426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.91 : 1,466.93 = 284.58 : x
  2. Step 2: Convert to fraction form
    977.91/1,466.93 = 284.58/x
  3. Step 3: Cross multiply
    977.91x = 1,466.93 × 284.58
  4. Step 4: Simplify right side
    977.91x = 417,460.42
  5. Step 5: Solve for x
    x = 417,460.42/977.91
  6. Step 6: Final answer
    x = 426.89

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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.