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Finding the Fourth Proportional to 1,220.63, 1,682.31 and 972.77

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Solution

The fourth proportional to 1,220.63, 1,682.31 and 972.77 is: 1,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.63 : 1,682.31 = 972.77 : x
  2. Step 2: Convert to fraction form
    1,220.63/1,682.31 = 972.77/x
  3. Step 3: Cross multiply
    1,220.63x = 1,682.31 × 972.77
  4. Step 4: Simplify right side
    1,220.63x = 1,636,492.29
  5. Step 5: Solve for x
    x = 1,636,492.29/1,220.63
  6. Step 6: Final answer
    x = 1,340.70

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Half scale
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Double scale
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1.5x scale

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.