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Finding the Fourth Proportional to 1,150.77, 1,585.38 and 953.67

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Solution

The fourth proportional to 1,150.77, 1,585.38 and 953.67 is: 1,313.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.77 : 1,585.38 = 953.67 : x
  2. Step 2: Convert to fraction form
    1,150.77/1,585.38 = 953.67/x
  3. Step 3: Cross multiply
    1,150.77x = 1,585.38 × 953.67
  4. Step 4: Simplify right side
    1,150.77x = 1,511,929.34
  5. Step 5: Solve for x
    x = 1,511,929.34/1,150.77
  6. Step 6: Final answer
    x = 1,313.84

Related Problems

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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.