Home / 710.24-1,065.26-271.40

Finding the Fourth Proportional to 710.24, 1,065.26 and 271.40

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Solution

The fourth proportional to 710.24, 1,065.26 and 271.40 is: 407.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.24 : 1,065.26 = 271.40 : x
  2. Step 2: Convert to fraction form
    710.24/1,065.26 = 271.40/x
  3. Step 3: Cross multiply
    710.24x = 1,065.26 × 271.40
  4. Step 4: Simplify right side
    710.24x = 289,106.92
  5. Step 5: Solve for x
    x = 289,106.92/710.24
  6. Step 6: Final answer
    x = 407.06

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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.