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Finding the Fourth Proportional to 775.58, 1,069.20 and 526.91

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Solution

The fourth proportional to 775.58, 1,069.20 and 526.91 is: 726.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.58 : 1,069.20 = 526.91 : x
  2. Step 2: Convert to fraction form
    775.58/1,069.20 = 526.91/x
  3. Step 3: Cross multiply
    775.58x = 1,069.20 × 526.91
  4. Step 4: Simplify right side
    775.58x = 563,366.83
  5. Step 5: Solve for x
    x = 563,366.83/775.58
  6. Step 6: Final answer
    x = 726.39

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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.