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Finding the Fourth Proportional to 1,056.58, 1,583.88 and 569.68

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Solution

The fourth proportional to 1,056.58, 1,583.88 and 569.68 is: 853.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.58 : 1,583.88 = 569.68 : x
  2. Step 2: Convert to fraction form
    1,056.58/1,583.88 = 569.68/x
  3. Step 3: Cross multiply
    1,056.58x = 1,583.88 × 569.68
  4. Step 4: Simplify right side
    1,056.58x = 902,304.76
  5. Step 5: Solve for x
    x = 902,304.76/1,056.58
  6. Step 6: Final answer
    x = 853.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.