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Finding the Fourth Proportional to 501.04, 750.70 and 450.32

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Solution

The fourth proportional to 501.04, 750.70 and 450.32 is: 674.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.04 : 750.70 = 450.32 : x
  2. Step 2: Convert to fraction form
    501.04/750.70 = 450.32/x
  3. Step 3: Cross multiply
    501.04x = 750.70 × 450.32
  4. Step 4: Simplify right side
    501.04x = 338,051.47
  5. Step 5: Solve for x
    x = 338,051.47/501.04
  6. Step 6: Final answer
    x = 674.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.