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Finding the Fourth Proportional to 503.30, 751.34 and 464.34

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Solution

The fourth proportional to 503.30, 751.34 and 464.34 is: 693.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.30 : 751.34 = 464.34 : x
  2. Step 2: Convert to fraction form
    503.30/751.34 = 464.34/x
  3. Step 3: Cross multiply
    503.30x = 751.34 × 464.34
  4. Step 4: Simplify right side
    503.30x = 348,877.22
  5. Step 5: Solve for x
    x = 348,877.22/503.30
  6. Step 6: Final answer
    x = 693.18

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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.