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Finding the Fourth Proportional to 671.81, 1,013.70 and 646.49

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Solution

The fourth proportional to 671.81, 1,013.70 and 646.49 is: 975.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.81 : 1,013.70 = 646.49 : x
  2. Step 2: Convert to fraction form
    671.81/1,013.70 = 646.49/x
  3. Step 3: Cross multiply
    671.81x = 1,013.70 × 646.49
  4. Step 4: Simplify right side
    671.81x = 655,341.84
  5. Step 5: Solve for x
    x = 655,341.84/671.81
  6. Step 6: Final answer
    x = 975.49

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.