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Finding the Fourth Proportional to 762,759, 1,052,606.61 and 418,596.93

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Solution

The fourth proportional to 762,759, 1,052,606.61 and 418,596.93 is: 577,663.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,759 : 1,052,606.61 = 418,596.93 : x
  2. Step 2: Convert to fraction form
    762,759/1,052,606.61 = 418,596.93/x
  3. Step 3: Cross multiply
    762,759x = 1,052,606.61 × 418,596.93
  4. Step 4: Simplify right side
    762,759x = 440,617,895,443.71
  5. Step 5: Solve for x
    x = 440,617,895,443.71/762,759
  6. Step 6: Final answer
    x = 577,663.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.