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Finding the Fourth Proportional to 570.75, 787.64 and 308.77

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Solution

The fourth proportional to 570.75, 787.64 and 308.77 is: 426.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.75 : 787.64 = 308.77 : x
  2. Step 2: Convert to fraction form
    570.75/787.64 = 308.77/x
  3. Step 3: Cross multiply
    570.75x = 787.64 × 308.77
  4. Step 4: Simplify right side
    570.75x = 243,196.09
  5. Step 5: Solve for x
    x = 243,196.09/570.75
  6. Step 6: Final answer
    x = 426.10

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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.