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Finding the Fourth Proportional to 719.10, 989.08 and 584.64

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Solution

The fourth proportional to 719.10, 989.08 and 584.64 is: 804.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.10 : 989.08 = 584.64 : x
  2. Step 2: Convert to fraction form
    719.10/989.08 = 584.64/x
  3. Step 3: Cross multiply
    719.10x = 989.08 × 584.64
  4. Step 4: Simplify right side
    719.10x = 578,254.27
  5. Step 5: Solve for x
    x = 578,254.27/719.10
  6. Step 6: Final answer
    x = 804.14

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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.