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Finding the Fourth Proportional to 1,124.25, 1,553.16 and 751.08

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Solution

The fourth proportional to 1,124.25, 1,553.16 and 751.08 is: 1,037.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.25 : 1,553.16 = 751.08 : x
  2. Step 2: Convert to fraction form
    1,124.25/1,553.16 = 751.08/x
  3. Step 3: Cross multiply
    1,124.25x = 1,553.16 × 751.08
  4. Step 4: Simplify right side
    1,124.25x = 1,166,547.41
  5. Step 5: Solve for x
    x = 1,166,547.41/1,124.25
  6. Step 6: Final answer
    x = 1,037.62

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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.