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Finding the Fourth Proportional to 675.67, 931.30 and 465.49

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Solution

The fourth proportional to 675.67, 931.30 and 465.49 is: 641.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.67 : 931.30 = 465.49 : x
  2. Step 2: Convert to fraction form
    675.67/931.30 = 465.49/x
  3. Step 3: Cross multiply
    675.67x = 931.30 × 465.49
  4. Step 4: Simplify right side
    675.67x = 433,510.84
  5. Step 5: Solve for x
    x = 433,510.84/675.67
  6. Step 6: Final answer
    x = 641.60

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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.