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Finding the Fourth Proportional to 820.90, 1,133.08 and 526.16

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Solution

The fourth proportional to 820.90, 1,133.08 and 526.16 is: 726.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.90 : 1,133.08 = 526.16 : x
  2. Step 2: Convert to fraction form
    820.90/1,133.08 = 526.16/x
  3. Step 3: Cross multiply
    820.90x = 1,133.08 × 526.16
  4. Step 4: Simplify right side
    820.90x = 596,179.48
  5. Step 5: Solve for x
    x = 596,179.48/820.90
  6. Step 6: Final answer
    x = 726.25

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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.