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Finding the Fourth Proportional to 1,458.78, 2,190.08 and 866.89

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Solution

The fourth proportional to 1,458.78, 2,190.08 and 866.89 is: 1,301.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.78 : 2,190.08 = 866.89 : x
  2. Step 2: Convert to fraction form
    1,458.78/2,190.08 = 866.89/x
  3. Step 3: Cross multiply
    1,458.78x = 2,190.08 × 866.89
  4. Step 4: Simplify right side
    1,458.78x = 1,898,547.50
  5. Step 5: Solve for x
    x = 1,898,547.50/1,458.78
  6. Step 6: Final answer
    x = 1,301.46

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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.