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Finding the Fourth Proportional to 1,741.52, 2,612.52 and 508.77

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Solution

The fourth proportional to 1,741.52, 2,612.52 and 508.77 is: 763.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.52 : 2,612.52 = 508.77 : x
  2. Step 2: Convert to fraction form
    1,741.52/2,612.52 = 508.77/x
  3. Step 3: Cross multiply
    1,741.52x = 2,612.52 × 508.77
  4. Step 4: Simplify right side
    1,741.52x = 1,329,171.80
  5. Step 5: Solve for x
    x = 1,329,171.80/1,741.52
  6. Step 6: Final answer
    x = 763.22

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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.