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Finding the Fourth Proportional to 697.94, 1,045.70 and 515.69

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Solution

The fourth proportional to 697.94, 1,045.70 and 515.69 is: 772.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.94 : 1,045.70 = 515.69 : x
  2. Step 2: Convert to fraction form
    697.94/1,045.70 = 515.69/x
  3. Step 3: Cross multiply
    697.94x = 1,045.70 × 515.69
  4. Step 4: Simplify right side
    697.94x = 539,254.45
  5. Step 5: Solve for x
    x = 539,254.45/697.94
  6. Step 6: Final answer
    x = 772.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.