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Finding the Fourth Proportional to 652.58, 978.50 and 575.72

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Solution

The fourth proportional to 652.58, 978.50 and 575.72 is: 863.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.58 : 978.50 = 575.72 : x
  2. Step 2: Convert to fraction form
    652.58/978.50 = 575.72/x
  3. Step 3: Cross multiply
    652.58x = 978.50 × 575.72
  4. Step 4: Simplify right side
    652.58x = 563,342.02
  5. Step 5: Solve for x
    x = 563,342.02/652.58
  6. Step 6: Final answer
    x = 863.25

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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.