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Finding the Fourth Proportional to 753.10, 1,038.94 and 458.35

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Solution

The fourth proportional to 753.10, 1,038.94 and 458.35 is: 632.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.10 : 1,038.94 = 458.35 : x
  2. Step 2: Convert to fraction form
    753.10/1,038.94 = 458.35/x
  3. Step 3: Cross multiply
    753.10x = 1,038.94 × 458.35
  4. Step 4: Simplify right side
    753.10x = 476,198.15
  5. Step 5: Solve for x
    x = 476,198.15/753.10
  6. Step 6: Final answer
    x = 632.32

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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.