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Finding the Fourth Proportional to 505.68, 753.80 and 478.32

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Solution

The fourth proportional to 505.68, 753.80 and 478.32 is: 713.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.68 : 753.80 = 478.32 : x
  2. Step 2: Convert to fraction form
    505.68/753.80 = 478.32/x
  3. Step 3: Cross multiply
    505.68x = 753.80 × 478.32
  4. Step 4: Simplify right side
    505.68x = 360,557.62
  5. Step 5: Solve for x
    x = 360,557.62/505.68
  6. Step 6: Final answer
    x = 713.02

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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.