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Finding the Fourth Proportional to 710.69, 1,065.69 and 223.74

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Solution

The fourth proportional to 710.69, 1,065.69 and 223.74 is: 335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.69 : 1,065.69 = 223.74 : x
  2. Step 2: Convert to fraction form
    710.69/1,065.69 = 223.74/x
  3. Step 3: Cross multiply
    710.69x = 1,065.69 × 223.74
  4. Step 4: Simplify right side
    710.69x = 238,437.48
  5. Step 5: Solve for x
    x = 238,437.48/710.69
  6. Step 6: Final answer
    x = 335.50

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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.