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Finding the Fourth Proportional to 775.83, 1,070.58 and 461.01

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Solution

The fourth proportional to 775.83, 1,070.58 and 461.01 is: 636.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.83 : 1,070.58 = 461.01 : x
  2. Step 2: Convert to fraction form
    775.83/1,070.58 = 461.01/x
  3. Step 3: Cross multiply
    775.83x = 1,070.58 × 461.01
  4. Step 4: Simplify right side
    775.83x = 493,551.24
  5. Step 5: Solve for x
    x = 493,551.24/775.83
  6. Step 6: Final answer
    x = 636.16

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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.