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Finding the Fourth Proportional to 1,698.57, 2,547.91 and 958.23

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Solution

The fourth proportional to 1,698.57, 2,547.91 and 958.23 is: 1,437.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.57 : 2,547.91 = 958.23 : x
  2. Step 2: Convert to fraction form
    1,698.57/2,547.91 = 958.23/x
  3. Step 3: Cross multiply
    1,698.57x = 2,547.91 × 958.23
  4. Step 4: Simplify right side
    1,698.57x = 2,441,479.61
  5. Step 5: Solve for x
    x = 2,441,479.61/1,698.57
  6. Step 6: Final answer
    x = 1,437.37

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1.5x scale

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.