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Finding the Fourth Proportional to 856.64, 1,182.87 and 525.29

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Solution

The fourth proportional to 856.64, 1,182.87 and 525.29 is: 725.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.64 : 1,182.87 = 525.29 : x
  2. Step 2: Convert to fraction form
    856.64/1,182.87 = 525.29/x
  3. Step 3: Cross multiply
    856.64x = 1,182.87 × 525.29
  4. Step 4: Simplify right side
    856.64x = 621,343.87
  5. Step 5: Solve for x
    x = 621,343.87/856.64
  6. Step 6: Final answer
    x = 725.32

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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.