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Finding the Fourth Proportional to 652.68, 973.91 and 583.63

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Solution

The fourth proportional to 652.68, 973.91 and 583.63 is: 870.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.68 : 973.91 = 583.63 : x
  2. Step 2: Convert to fraction form
    652.68/973.91 = 583.63/x
  3. Step 3: Cross multiply
    652.68x = 973.91 × 583.63
  4. Step 4: Simplify right side
    652.68x = 568,398.22
  5. Step 5: Solve for x
    x = 568,398.22/652.68
  6. Step 6: Final answer
    x = 870.87

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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.