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Finding the Fourth Proportional to 1,085.83, 1,497.99 and 665.84

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Solution

The fourth proportional to 1,085.83, 1,497.99 and 665.84 is: 918.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.83 : 1,497.99 = 665.84 : x
  2. Step 2: Convert to fraction form
    1,085.83/1,497.99 = 665.84/x
  3. Step 3: Cross multiply
    1,085.83x = 1,497.99 × 665.84
  4. Step 4: Simplify right side
    1,085.83x = 997,421.66
  5. Step 5: Solve for x
    x = 997,421.66/1,085.83
  6. Step 6: Final answer
    x = 918.58

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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.