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Finding the Fourth Proportional to 857.58, 1,182.15 and 563.10

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Solution

The fourth proportional to 857.58, 1,182.15 and 563.10 is: 776.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.58 : 1,182.15 = 563.10 : x
  2. Step 2: Convert to fraction form
    857.58/1,182.15 = 563.10/x
  3. Step 3: Cross multiply
    857.58x = 1,182.15 × 563.10
  4. Step 4: Simplify right side
    857.58x = 665,668.67
  5. Step 5: Solve for x
    x = 665,668.67/857.58
  6. Step 6: Final answer
    x = 776.22

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Double scale
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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.