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Finding the Fourth Proportional to 503.02, 750.80 and 433.31

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Solution

The fourth proportional to 503.02, 750.80 and 433.31 is: 646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.02 : 750.80 = 433.31 : x
  2. Step 2: Convert to fraction form
    503.02/750.80 = 433.31/x
  3. Step 3: Cross multiply
    503.02x = 750.80 × 433.31
  4. Step 4: Simplify right side
    503.02x = 325,323.23
  5. Step 5: Solve for x
    x = 325,323.23/503.02
  6. Step 6: Final answer
    x = 646.74

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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.