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Finding the Fourth Proportional to 570.95, 786.56 and 470.71

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Solution

The fourth proportional to 570.95, 786.56 and 470.71 is: 648.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.95 : 786.56 = 470.71 : x
  2. Step 2: Convert to fraction form
    570.95/786.56 = 470.71/x
  3. Step 3: Cross multiply
    570.95x = 786.56 × 470.71
  4. Step 4: Simplify right side
    570.95x = 370,242.93
  5. Step 5: Solve for x
    x = 370,242.93/570.95
  6. Step 6: Final answer
    x = 648.47

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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.