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Finding the Fourth Proportional to 1,125.75, 1,688.60 and 509.02

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Solution

The fourth proportional to 1,125.75, 1,688.60 and 509.02 is: 763.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.75 : 1,688.60 = 509.02 : x
  2. Step 2: Convert to fraction form
    1,125.75/1,688.60 = 509.02/x
  3. Step 3: Cross multiply
    1,125.75x = 1,688.60 × 509.02
  4. Step 4: Simplify right side
    1,125.75x = 859,534.56
  5. Step 5: Solve for x
    x = 859,534.56/1,125.75
  6. Step 6: Final answer
    x = 763.52

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Double scale
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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.