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Finding the Fourth Proportional to 931.45, 1,285.85 and 856.40

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Solution

The fourth proportional to 931.45, 1,285.85 and 856.40 is: 1,182.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.45 : 1,285.85 = 856.40 : x
  2. Step 2: Convert to fraction form
    931.45/1,285.85 = 856.40/x
  3. Step 3: Cross multiply
    931.45x = 1,285.85 × 856.40
  4. Step 4: Simplify right side
    931.45x = 1,101,197.65
  5. Step 5: Solve for x
    x = 1,101,197.65/931.45
  6. Step 6: Final answer
    x = 1,182.24

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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.