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Finding the Fourth Proportional to 1,384.16, 2,076 and 459.60

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Solution

The fourth proportional to 1,384.16, 2,076 and 459.60 is: 689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.16 : 2,076 = 459.60 : x
  2. Step 2: Convert to fraction form
    1,384.16/2,076 = 459.60/x
  3. Step 3: Cross multiply
    1,384.16x = 2,076 × 459.60
  4. Step 4: Simplify right side
    1,384.16x = 954,129.60
  5. Step 5: Solve for x
    x = 954,129.60/1,384.16
  6. Step 6: Final answer
    x = 689.32

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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.