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Finding the Fourth Proportional to 913.02, 1,254.86 and 856.86

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Solution

The fourth proportional to 913.02, 1,254.86 and 856.86 is: 1,177.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.02 : 1,254.86 = 856.86 : x
  2. Step 2: Convert to fraction form
    913.02/1,254.86 = 856.86/x
  3. Step 3: Cross multiply
    913.02x = 1,254.86 × 856.86
  4. Step 4: Simplify right side
    913.02x = 1,075,235.06
  5. Step 5: Solve for x
    x = 1,075,235.06/913.02
  6. Step 6: Final answer
    x = 1,177.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.