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Finding the Fourth Proportional to 1,137.10, 1,568.68 and 717.16

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Solution

The fourth proportional to 1,137.10, 1,568.68 and 717.16 is: 989.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.10 : 1,568.68 = 717.16 : x
  2. Step 2: Convert to fraction form
    1,137.10/1,568.68 = 717.16/x
  3. Step 3: Cross multiply
    1,137.10x = 1,568.68 × 717.16
  4. Step 4: Simplify right side
    1,137.10x = 1,124,994.55
  5. Step 5: Solve for x
    x = 1,124,994.55/1,137.10
  6. Step 6: Final answer
    x = 989.35

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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.