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Finding the Fourth Proportional to 857.97, 1,184.07 and 526.32

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Solution

The fourth proportional to 857.97, 1,184.07 and 526.32 is: 726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.97 : 1,184.07 = 526.32 : x
  2. Step 2: Convert to fraction form
    857.97/1,184.07 = 526.32/x
  3. Step 3: Cross multiply
    857.97x = 1,184.07 × 526.32
  4. Step 4: Simplify right side
    857.97x = 623,199.72
  5. Step 5: Solve for x
    x = 623,199.72/857.97
  6. Step 6: Final answer
    x = 726.37

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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.