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Finding the Fourth Proportional to 746.61, 1,030.51 and 452.08

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Solution

The fourth proportional to 746.61, 1,030.51 and 452.08 is: 623.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.61 : 1,030.51 = 452.08 : x
  2. Step 2: Convert to fraction form
    746.61/1,030.51 = 452.08/x
  3. Step 3: Cross multiply
    746.61x = 1,030.51 × 452.08
  4. Step 4: Simplify right side
    746.61x = 465,872.96
  5. Step 5: Solve for x
    x = 465,872.96/746.61
  6. Step 6: Final answer
    x = 623.98

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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.