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Finding the Fourth Proportional to 719.76, 993.60 and 471.09

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Solution

The fourth proportional to 719.76, 993.60 and 471.09 is: 650.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.76 : 993.60 = 471.09 : x
  2. Step 2: Convert to fraction form
    719.76/993.60 = 471.09/x
  3. Step 3: Cross multiply
    719.76x = 993.60 × 471.09
  4. Step 4: Simplify right side
    719.76x = 468,075.02
  5. Step 5: Solve for x
    x = 468,075.02/719.76
  6. Step 6: Final answer
    x = 650.32

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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.