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Finding the Fourth Proportional to 1,669.61, 2,303.94 and 923.53

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Solution

The fourth proportional to 1,669.61, 2,303.94 and 923.53 is: 1,274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.61 : 2,303.94 = 923.53 : x
  2. Step 2: Convert to fraction form
    1,669.61/2,303.94 = 923.53/x
  3. Step 3: Cross multiply
    1,669.61x = 2,303.94 × 923.53
  4. Step 4: Simplify right side
    1,669.61x = 2,127,757.71
  5. Step 5: Solve for x
    x = 2,127,757.71/1,669.61
  6. Step 6: Final answer
    x = 1,274.40

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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.