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Finding the Fourth Proportional to 715.10, 1,073.55 and 386.30

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Solution

The fourth proportional to 715.10, 1,073.55 and 386.30 is: 579.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.10 : 1,073.55 = 386.30 : x
  2. Step 2: Convert to fraction form
    715.10/1,073.55 = 386.30/x
  3. Step 3: Cross multiply
    715.10x = 1,073.55 × 386.30
  4. Step 4: Simplify right side
    715.10x = 414,712.37
  5. Step 5: Solve for x
    x = 414,712.37/715.10
  6. Step 6: Final answer
    x = 579.94

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1.5x scale

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.