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Finding the Fourth Proportional to 763.84, 1,054.10 and 469.04

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Solution

The fourth proportional to 763.84, 1,054.10 and 469.04 is: 647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.84 : 1,054.10 = 469.04 : x
  2. Step 2: Convert to fraction form
    763.84/1,054.10 = 469.04/x
  3. Step 3: Cross multiply
    763.84x = 1,054.10 × 469.04
  4. Step 4: Simplify right side
    763.84x = 494,415.06
  5. Step 5: Solve for x
    x = 494,415.06/763.84
  6. Step 6: Final answer
    x = 647.28

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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.