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Finding the Fourth Proportional to 700.66, 1,045.90 and 642.88

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Solution

The fourth proportional to 700.66, 1,045.90 and 642.88 is: 959.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.66 : 1,045.90 = 642.88 : x
  2. Step 2: Convert to fraction form
    700.66/1,045.90 = 642.88/x
  3. Step 3: Cross multiply
    700.66x = 1,045.90 × 642.88
  4. Step 4: Simplify right side
    700.66x = 672,388.19
  5. Step 5: Solve for x
    x = 672,388.19/700.66
  6. Step 6: Final answer
    x = 959.65

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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.