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Finding the Fourth Proportional to 1,124.37, 1,551.47 and 750.76

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Solution

The fourth proportional to 1,124.37, 1,551.47 and 750.76 is: 1,035.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.37 : 1,551.47 = 750.76 : x
  2. Step 2: Convert to fraction form
    1,124.37/1,551.47 = 750.76/x
  3. Step 3: Cross multiply
    1,124.37x = 1,551.47 × 750.76
  4. Step 4: Simplify right side
    1,124.37x = 1,164,773.98
  5. Step 5: Solve for x
    x = 1,164,773.98/1,124.37
  6. Step 6: Final answer
    x = 1,035.93

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.