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Finding the Fourth Proportional to 1,125.50, 1,685.75 and 508.28

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Solution

The fourth proportional to 1,125.50, 1,685.75 and 508.28 is: 761.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.50 : 1,685.75 = 508.28 : x
  2. Step 2: Convert to fraction form
    1,125.50/1,685.75 = 508.28/x
  3. Step 3: Cross multiply
    1,125.50x = 1,685.75 × 508.28
  4. Step 4: Simplify right side
    1,125.50x = 856,822.04
  5. Step 5: Solve for x
    x = 856,822.04/1,125.50
  6. Step 6: Final answer
    x = 761.28

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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.