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Finding the Fourth Proportional to 1,168.76, 1,612.50 and 775.64

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Solution

The fourth proportional to 1,168.76, 1,612.50 and 775.64 is: 1,070.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.76 : 1,612.50 = 775.64 : x
  2. Step 2: Convert to fraction form
    1,168.76/1,612.50 = 775.64/x
  3. Step 3: Cross multiply
    1,168.76x = 1,612.50 × 775.64
  4. Step 4: Simplify right side
    1,168.76x = 1,250,719.50
  5. Step 5: Solve for x
    x = 1,250,719.50/1,168.76
  6. Step 6: Final answer
    x = 1,070.13

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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.