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Finding the Fourth Proportional to 971.58, 1,341.08 and 599.10

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Solution

The fourth proportional to 971.58, 1,341.08 and 599.10 is: 826.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.58 : 1,341.08 = 599.10 : x
  2. Step 2: Convert to fraction form
    971.58/1,341.08 = 599.10/x
  3. Step 3: Cross multiply
    971.58x = 1,341.08 × 599.10
  4. Step 4: Simplify right side
    971.58x = 803,438.03
  5. Step 5: Solve for x
    x = 803,438.03/971.58
  6. Step 6: Final answer
    x = 826.94

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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.