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Finding the Fourth Proportional to 3,085.52, 4,628.32 and 777.04

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Solution

The fourth proportional to 3,085.52, 4,628.32 and 777.04 is: 1,165.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.52 : 4,628.32 = 777.04 : x
  2. Step 2: Convert to fraction form
    3,085.52/4,628.32 = 777.04/x
  3. Step 3: Cross multiply
    3,085.52x = 4,628.32 × 777.04
  4. Step 4: Simplify right side
    3,085.52x = 3,596,389.77
  5. Step 5: Solve for x
    x = 3,596,389.77/3,085.52
  6. Step 6: Final answer
    x = 1,165.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.