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Finding the Fourth Proportional to 476, 710.07 and 403.33

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Solution

The fourth proportional to 476, 710.07 and 403.33 is: 601.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    476 : 710.07 = 403.33 : x
  2. Step 2: Convert to fraction form
    476/710.07 = 403.33/x
  3. Step 3: Cross multiply
    476x = 710.07 × 403.33
  4. Step 4: Simplify right side
    476x = 286,392.53
  5. Step 5: Solve for x
    x = 286,392.53/476
  6. Step 6: Final answer
    x = 601.66

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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.