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Finding the Fourth Proportional to 751.77, 1,037.07 and 471.69

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Solution

The fourth proportional to 751.77, 1,037.07 and 471.69 is: 650.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.77 : 1,037.07 = 471.69 : x
  2. Step 2: Convert to fraction form
    751.77/1,037.07 = 471.69/x
  3. Step 3: Cross multiply
    751.77x = 1,037.07 × 471.69
  4. Step 4: Simplify right side
    751.77x = 489,175.55
  5. Step 5: Solve for x
    x = 489,175.55/751.77
  6. Step 6: Final answer
    x = 650.70

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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.