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Finding the Fourth Proportional to 573.68, 788.25 and 468.51

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Solution

The fourth proportional to 573.68, 788.25 and 468.51 is: 643.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.68 : 788.25 = 468.51 : x
  2. Step 2: Convert to fraction form
    573.68/788.25 = 468.51/x
  3. Step 3: Cross multiply
    573.68x = 788.25 × 468.51
  4. Step 4: Simplify right side
    573.68x = 369,303.01
  5. Step 5: Solve for x
    x = 369,303.01/573.68
  6. Step 6: Final answer
    x = 643.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.