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Finding the Fourth Proportional to 650.58, 970.96 and 595.50

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Solution

The fourth proportional to 650.58, 970.96 and 595.50 is: 888.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.58 : 970.96 = 595.50 : x
  2. Step 2: Convert to fraction form
    650.58/970.96 = 595.50/x
  3. Step 3: Cross multiply
    650.58x = 970.96 × 595.50
  4. Step 4: Simplify right side
    650.58x = 578,206.68
  5. Step 5: Solve for x
    x = 578,206.68/650.58
  6. Step 6: Final answer
    x = 888.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.