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Finding the Fourth Proportional to 1,029.51, 1,542.32 and 508.91

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Solution

The fourth proportional to 1,029.51, 1,542.32 and 508.91 is: 762.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.51 : 1,542.32 = 508.91 : x
  2. Step 2: Convert to fraction form
    1,029.51/1,542.32 = 508.91/x
  3. Step 3: Cross multiply
    1,029.51x = 1,542.32 × 508.91
  4. Step 4: Simplify right side
    1,029.51x = 784,895.63
  5. Step 5: Solve for x
    x = 784,895.63/1,029.51
  6. Step 6: Final answer
    x = 762.40

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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.