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Finding the Fourth Proportional to 1,125.70, 1,688.49 and 345.70

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Solution

The fourth proportional to 1,125.70, 1,688.49 and 345.70 is: 518.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.70 : 1,688.49 = 345.70 : x
  2. Step 2: Convert to fraction form
    1,125.70/1,688.49 = 345.70/x
  3. Step 3: Cross multiply
    1,125.70x = 1,688.49 × 345.70
  4. Step 4: Simplify right side
    1,125.70x = 583,710.99
  5. Step 5: Solve for x
    x = 583,710.99/1,125.70
  6. Step 6: Final answer
    x = 518.53

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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.