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Finding the Fourth Proportional to 1,298.79, 1,935.58 and 1,257.28

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Solution

The fourth proportional to 1,298.79, 1,935.58 and 1,257.28 is: 1,873.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.79 : 1,935.58 = 1,257.28 : x
  2. Step 2: Convert to fraction form
    1,298.79/1,935.58 = 1,257.28/x
  3. Step 3: Cross multiply
    1,298.79x = 1,935.58 × 1,257.28
  4. Step 4: Simplify right side
    1,298.79x = 2,433,566.02
  5. Step 5: Solve for x
    x = 2,433,566.02/1,298.79
  6. Step 6: Final answer
    x = 1,873.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.