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Finding the Fourth Proportional to 714.92, 1,064.99 and 670.10

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Solution

The fourth proportional to 714.92, 1,064.99 and 670.10 is: 998.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.92 : 1,064.99 = 670.10 : x
  2. Step 2: Convert to fraction form
    714.92/1,064.99 = 670.10/x
  3. Step 3: Cross multiply
    714.92x = 1,064.99 × 670.10
  4. Step 4: Simplify right side
    714.92x = 713,646.15
  5. Step 5: Solve for x
    x = 713,646.15/714.92
  6. Step 6: Final answer
    x = 998.23

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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.