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Finding the Fourth Proportional to 746.49, 1,030.10 and 414.90

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Solution

The fourth proportional to 746.49, 1,030.10 and 414.90 is: 572.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.49 : 1,030.10 = 414.90 : x
  2. Step 2: Convert to fraction form
    746.49/1,030.10 = 414.90/x
  3. Step 3: Cross multiply
    746.49x = 1,030.10 × 414.90
  4. Step 4: Simplify right side
    746.49x = 427,386.42
  5. Step 5: Solve for x
    x = 427,386.42/746.49
  6. Step 6: Final answer
    x = 572.53

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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.