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Finding the Fourth Proportional to 500.90, 750.80 and 477.90

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Solution

The fourth proportional to 500.90, 750.80 and 477.90 is: 716.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.90 : 750.80 = 477.90 : x
  2. Step 2: Convert to fraction form
    500.90/750.80 = 477.90/x
  3. Step 3: Cross multiply
    500.90x = 750.80 × 477.90
  4. Step 4: Simplify right side
    500.90x = 358,808.51
  5. Step 5: Solve for x
    x = 358,808.51/500.90
  6. Step 6: Final answer
    x = 716.33

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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.