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Finding the Fourth Proportional to 1,458.04, 2,185.98 and 689.08

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Solution

The fourth proportional to 1,458.04, 2,185.98 and 689.08 is: 1,033.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.04 : 2,185.98 = 689.08 : x
  2. Step 2: Convert to fraction form
    1,458.04/2,185.98 = 689.08/x
  3. Step 3: Cross multiply
    1,458.04x = 2,185.98 × 689.08
  4. Step 4: Simplify right side
    1,458.04x = 1,506,315.10
  5. Step 5: Solve for x
    x = 1,506,315.10/1,458.04
  6. Step 6: Final answer
    x = 1,033.11

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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.