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Finding the Fourth Proportional to 971.18, 1,455.74 and 706.99

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Solution

The fourth proportional to 971.18, 1,455.74 and 706.99 is: 1,059.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.18 : 1,455.74 = 706.99 : x
  2. Step 2: Convert to fraction form
    971.18/1,455.74 = 706.99/x
  3. Step 3: Cross multiply
    971.18x = 1,455.74 × 706.99
  4. Step 4: Simplify right side
    971.18x = 1,029,182.81
  5. Step 5: Solve for x
    x = 1,029,182.81/971.18
  6. Step 6: Final answer
    x = 1,059.72

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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.