Home / 1,566.40-2,349.60-412.16

Finding the Fourth Proportional to 1,566.40, 2,349.60 and 412.16

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Solution

The fourth proportional to 1,566.40, 2,349.60 and 412.16 is: 618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.40 : 2,349.60 = 412.16 : x
  2. Step 2: Convert to fraction form
    1,566.40/2,349.60 = 412.16/x
  3. Step 3: Cross multiply
    1,566.40x = 2,349.60 × 412.16
  4. Step 4: Simplify right side
    1,566.40x = 968,411.14
  5. Step 5: Solve for x
    x = 968,411.14/1,566.40
  6. Step 6: Final answer
    x = 618.24

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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.