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Finding the Fourth Proportional to 670.98, 997.95 and 657.15

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Solution

The fourth proportional to 670.98, 997.95 and 657.15 is: 977.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.98 : 997.95 = 657.15 : x
  2. Step 2: Convert to fraction form
    670.98/997.95 = 657.15/x
  3. Step 3: Cross multiply
    670.98x = 997.95 × 657.15
  4. Step 4: Simplify right side
    670.98x = 655,802.84
  5. Step 5: Solve for x
    x = 655,802.84/670.98
  6. Step 6: Final answer
    x = 977.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.