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Finding the Fourth Proportional to 902.84, 1,245.80 and 570.68

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Solution

The fourth proportional to 902.84, 1,245.80 and 570.68 is: 787.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.84 : 1,245.80 = 570.68 : x
  2. Step 2: Convert to fraction form
    902.84/1,245.80 = 570.68/x
  3. Step 3: Cross multiply
    902.84x = 1,245.80 × 570.68
  4. Step 4: Simplify right side
    902.84x = 710,953.14
  5. Step 5: Solve for x
    x = 710,953.14/902.84
  6. Step 6: Final answer
    x = 787.46

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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.