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Finding the Fourth Proportional to 953.05, 1,312.86 and 812.71

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Solution

The fourth proportional to 953.05, 1,312.86 and 812.71 is: 1,119.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.05 : 1,312.86 = 812.71 : x
  2. Step 2: Convert to fraction form
    953.05/1,312.86 = 812.71/x
  3. Step 3: Cross multiply
    953.05x = 1,312.86 × 812.71
  4. Step 4: Simplify right side
    953.05x = 1,066,974.45
  5. Step 5: Solve for x
    x = 1,066,974.45/953.05
  6. Step 6: Final answer
    x = 1,119.54

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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.