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Finding the Fourth Proportional to 1,258.51, 1,887.45 and 564.79

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Solution

The fourth proportional to 1,258.51, 1,887.45 and 564.79 is: 847.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.51 : 1,887.45 = 564.79 : x
  2. Step 2: Convert to fraction form
    1,258.51/1,887.45 = 564.79/x
  3. Step 3: Cross multiply
    1,258.51x = 1,887.45 × 564.79
  4. Step 4: Simplify right side
    1,258.51x = 1,066,012.89
  5. Step 5: Solve for x
    x = 1,066,012.89/1,258.51
  6. Step 6: Final answer
    x = 847.04

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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.