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Finding the Fourth Proportional to 846.10, 1,267.47 and 358.90

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Solution

The fourth proportional to 846.10, 1,267.47 and 358.90 is: 537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.10 : 1,267.47 = 358.90 : x
  2. Step 2: Convert to fraction form
    846.10/1,267.47 = 358.90/x
  3. Step 3: Cross multiply
    846.10x = 1,267.47 × 358.90
  4. Step 4: Simplify right side
    846.10x = 454,894.98
  5. Step 5: Solve for x
    x = 454,894.98/846.10
  6. Step 6: Final answer
    x = 537.64

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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.