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Finding the Fourth Proportional to 1,052.51, 1,452.30 and 632.77

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Solution

The fourth proportional to 1,052.51, 1,452.30 and 632.77 is: 873.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.51 : 1,452.30 = 632.77 : x
  2. Step 2: Convert to fraction form
    1,052.51/1,452.30 = 632.77/x
  3. Step 3: Cross multiply
    1,052.51x = 1,452.30 × 632.77
  4. Step 4: Simplify right side
    1,052.51x = 918,971.87
  5. Step 5: Solve for x
    x = 918,971.87/1,052.51
  6. Step 6: Final answer
    x = 873.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.