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Finding the Fourth Proportional to 700.77, 1,045.21 and 688.47

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Solution

The fourth proportional to 700.77, 1,045.21 and 688.47 is: 1,026.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.77 : 1,045.21 = 688.47 : x
  2. Step 2: Convert to fraction form
    700.77/1,045.21 = 688.47/x
  3. Step 3: Cross multiply
    700.77x = 1,045.21 × 688.47
  4. Step 4: Simplify right side
    700.77x = 719,592.29
  5. Step 5: Solve for x
    x = 719,592.29/700.77
  6. Step 6: Final answer
    x = 1,026.86

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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.