Home / 1,564.37-2,346.40-410.12

Finding the Fourth Proportional to 1,564.37, 2,346.40 and 410.12

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Solution

The fourth proportional to 1,564.37, 2,346.40 and 410.12 is: 615.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.37 : 2,346.40 = 410.12 : x
  2. Step 2: Convert to fraction form
    1,564.37/2,346.40 = 410.12/x
  3. Step 3: Cross multiply
    1,564.37x = 2,346.40 × 410.12
  4. Step 4: Simplify right side
    1,564.37x = 962,303.52
  5. Step 5: Solve for x
    x = 962,303.52/1,564.37
  6. Step 6: Final answer
    x = 615.14

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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.