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Finding the Fourth Proportional to 1,037.50, 1,556.40 and 722.23

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Solution

The fourth proportional to 1,037.50, 1,556.40 and 722.23 is: 1,083.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.50 : 1,556.40 = 722.23 : x
  2. Step 2: Convert to fraction form
    1,037.50/1,556.40 = 722.23/x
  3. Step 3: Cross multiply
    1,037.50x = 1,556.40 × 722.23
  4. Step 4: Simplify right side
    1,037.50x = 1,124,078.77
  5. Step 5: Solve for x
    x = 1,124,078.77/1,037.50
  6. Step 6: Final answer
    x = 1,083.45

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.