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Finding the Fourth Proportional to 670.84, 1,012.45 and 653.56

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Solution

The fourth proportional to 670.84, 1,012.45 and 653.56 is: 986.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.84 : 1,012.45 = 653.56 : x
  2. Step 2: Convert to fraction form
    670.84/1,012.45 = 653.56/x
  3. Step 3: Cross multiply
    670.84x = 1,012.45 × 653.56
  4. Step 4: Simplify right side
    670.84x = 661,696.82
  5. Step 5: Solve for x
    x = 661,696.82/670.84
  6. Step 6: Final answer
    x = 986.37

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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.