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Finding the Fourth Proportional to 1,677.55, 2,315.02 and 931.51

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Solution

The fourth proportional to 1,677.55, 2,315.02 and 931.51 is: 1,285.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.55 : 2,315.02 = 931.51 : x
  2. Step 2: Convert to fraction form
    1,677.55/2,315.02 = 931.51/x
  3. Step 3: Cross multiply
    1,677.55x = 2,315.02 × 931.51
  4. Step 4: Simplify right side
    1,677.55x = 2,156,464.28
  5. Step 5: Solve for x
    x = 2,156,464.28/1,677.55
  6. Step 6: Final answer
    x = 1,285.48

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1.5x scale

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.