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Finding the Fourth Proportional to 840.74, 1,160.78 and 526.14

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Solution

The fourth proportional to 840.74, 1,160.78 and 526.14 is: 726.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.74 : 1,160.78 = 526.14 : x
  2. Step 2: Convert to fraction form
    840.74/1,160.78 = 526.14/x
  3. Step 3: Cross multiply
    840.74x = 1,160.78 × 526.14
  4. Step 4: Simplify right side
    840.74x = 610,730.16
  5. Step 5: Solve for x
    x = 610,730.16/840.74
  6. Step 6: Final answer
    x = 726.42

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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.