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Finding the Fourth Proportional to 971.54, 1,458.01 and 477.84

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Solution

The fourth proportional to 971.54, 1,458.01 and 477.84 is: 717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.54 : 1,458.01 = 477.84 : x
  2. Step 2: Convert to fraction form
    971.54/1,458.01 = 477.84/x
  3. Step 3: Cross multiply
    971.54x = 1,458.01 × 477.84
  4. Step 4: Simplify right side
    971.54x = 696,695.50
  5. Step 5: Solve for x
    x = 696,695.50/971.54
  6. Step 6: Final answer
    x = 717.10

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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.