Home / 1,564.66-2,158.68-974.98

Finding the Fourth Proportional to 1,564.66, 2,158.68 and 974.98

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Solution

The fourth proportional to 1,564.66, 2,158.68 and 974.98 is: 1,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.66 : 2,158.68 = 974.98 : x
  2. Step 2: Convert to fraction form
    1,564.66/2,158.68 = 974.98/x
  3. Step 3: Cross multiply
    1,564.66x = 2,158.68 × 974.98
  4. Step 4: Simplify right side
    1,564.66x = 2,104,669.83
  5. Step 5: Solve for x
    x = 2,104,669.83/1,564.66
  6. Step 6: Final answer
    x = 1,345.13

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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.