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Finding the Fourth Proportional to 856.84, 1,182.80 and 525.40

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Solution

The fourth proportional to 856.84, 1,182.80 and 525.40 is: 725.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.84 : 1,182.80 = 525.40 : x
  2. Step 2: Convert to fraction form
    856.84/1,182.80 = 525.40/x
  3. Step 3: Cross multiply
    856.84x = 1,182.80 × 525.40
  4. Step 4: Simplify right side
    856.84x = 621,443.12
  5. Step 5: Solve for x
    x = 621,443.12/856.84
  6. Step 6: Final answer
    x = 725.27

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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.