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Finding the Fourth Proportional to 775.69, 1,070.93 and 510.55

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Solution

The fourth proportional to 775.69, 1,070.93 and 510.55 is: 704.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.69 : 1,070.93 = 510.55 : x
  2. Step 2: Convert to fraction form
    775.69/1,070.93 = 510.55/x
  3. Step 3: Cross multiply
    775.69x = 1,070.93 × 510.55
  4. Step 4: Simplify right side
    775.69x = 546,763.31
  5. Step 5: Solve for x
    x = 546,763.31/775.69
  6. Step 6: Final answer
    x = 704.87

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Double scale
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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.