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Finding the Fourth Proportional to 775.57, 1,071.16 and 526.46

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Solution

The fourth proportional to 775.57, 1,071.16 and 526.46 is: 727.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.57 : 1,071.16 = 526.46 : x
  2. Step 2: Convert to fraction form
    775.57/1,071.16 = 526.46/x
  3. Step 3: Cross multiply
    775.57x = 1,071.16 × 526.46
  4. Step 4: Simplify right side
    775.57x = 563,915.86
  5. Step 5: Solve for x
    x = 563,915.86/775.57
  6. Step 6: Final answer
    x = 727.10

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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.