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Finding the Fourth Proportional to 1,417.84, 1,957.57 and 1,085.67

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Solution

The fourth proportional to 1,417.84, 1,957.57 and 1,085.67 is: 1,498.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.84 : 1,957.57 = 1,085.67 : x
  2. Step 2: Convert to fraction form
    1,417.84/1,957.57 = 1,085.67/x
  3. Step 3: Cross multiply
    1,417.84x = 1,957.57 × 1,085.67
  4. Step 4: Simplify right side
    1,417.84x = 2,125,272.31
  5. Step 5: Solve for x
    x = 2,125,272.31/1,417.84
  6. Step 6: Final answer
    x = 1,498.95

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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.