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Finding the Fourth Proportional to 570.99, 785.93 and 476.67

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Solution

The fourth proportional to 570.99, 785.93 and 476.67 is: 656.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.99 : 785.93 = 476.67 : x
  2. Step 2: Convert to fraction form
    570.99/785.93 = 476.67/x
  3. Step 3: Cross multiply
    570.99x = 785.93 × 476.67
  4. Step 4: Simplify right side
    570.99x = 374,629.82
  5. Step 5: Solve for x
    x = 374,629.82/570.99
  6. Step 6: Final answer
    x = 656.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.