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Finding the Fourth Proportional to 709.96, 977.40 and 675.34

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Solution

The fourth proportional to 709.96, 977.40 and 675.34 is: 929.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.96 : 977.40 = 675.34 : x
  2. Step 2: Convert to fraction form
    709.96/977.40 = 675.34/x
  3. Step 3: Cross multiply
    709.96x = 977.40 × 675.34
  4. Step 4: Simplify right side
    709.96x = 660,077.32
  5. Step 5: Solve for x
    x = 660,077.32/709.96
  6. Step 6: Final answer
    x = 929.74

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1.5x scale

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.