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Finding the Fourth Proportional to 840.66, 1,160.16 and 526.12

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Solution

The fourth proportional to 840.66, 1,160.16 and 526.12 is: 726.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.66 : 1,160.16 = 526.12 : x
  2. Step 2: Convert to fraction form
    840.66/1,160.16 = 526.12/x
  3. Step 3: Cross multiply
    840.66x = 1,160.16 × 526.12
  4. Step 4: Simplify right side
    840.66x = 610,383.38
  5. Step 5: Solve for x
    x = 610,383.38/840.66
  6. Step 6: Final answer
    x = 726.08

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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.