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Finding the Fourth Proportional to 570.15, 786.29 and 373.77

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Solution

The fourth proportional to 570.15, 786.29 and 373.77 is: 515.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.15 : 786.29 = 373.77 : x
  2. Step 2: Convert to fraction form
    570.15/786.29 = 373.77/x
  3. Step 3: Cross multiply
    570.15x = 786.29 × 373.77
  4. Step 4: Simplify right side
    570.15x = 293,889.74
  5. Step 5: Solve for x
    x = 293,889.74/570.15
  6. Step 6: Final answer
    x = 515.46

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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.