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Finding the Fourth Proportional to 570.48, 786.90 and 337.44

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Solution

The fourth proportional to 570.48, 786.90 and 337.44 is: 465.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.48 : 786.90 = 337.44 : x
  2. Step 2: Convert to fraction form
    570.48/786.90 = 337.44/x
  3. Step 3: Cross multiply
    570.48x = 786.90 × 337.44
  4. Step 4: Simplify right side
    570.48x = 265,531.54
  5. Step 5: Solve for x
    x = 265,531.54/570.48
  6. Step 6: Final answer
    x = 465.45

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1.5x scale

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.