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Finding the Fourth Proportional to 652.60, 973.40 and 607.24

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Solution

The fourth proportional to 652.60, 973.40 and 607.24 is: 905.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.60 : 973.40 = 607.24 : x
  2. Step 2: Convert to fraction form
    652.60/973.40 = 607.24/x
  3. Step 3: Cross multiply
    652.60x = 973.40 × 607.24
  4. Step 4: Simplify right side
    652.60x = 591,087.42
  5. Step 5: Solve for x
    x = 591,087.42/652.60
  6. Step 6: Final answer
    x = 905.74

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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.