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Finding the Fourth Proportional to 1,029.64, 1,541.42 and 971.93

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Solution

The fourth proportional to 1,029.64, 1,541.42 and 971.93 is: 1,455.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.64 : 1,541.42 = 971.93 : x
  2. Step 2: Convert to fraction form
    1,029.64/1,541.42 = 971.93/x
  3. Step 3: Cross multiply
    1,029.64x = 1,541.42 × 971.93
  4. Step 4: Simplify right side
    1,029.64x = 1,498,152.34
  5. Step 5: Solve for x
    x = 1,498,152.34/1,029.64
  6. Step 6: Final answer
    x = 1,455.03

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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.