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Finding the Fourth Proportional to 652.72, 975.04 and 587.60

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Solution

The fourth proportional to 652.72, 975.04 and 587.60 is: 877.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.72 : 975.04 = 587.60 : x
  2. Step 2: Convert to fraction form
    652.72/975.04 = 587.60/x
  3. Step 3: Cross multiply
    652.72x = 975.04 × 587.60
  4. Step 4: Simplify right side
    652.72x = 572,933.50
  5. Step 5: Solve for x
    x = 572,933.50/652.72
  6. Step 6: Final answer
    x = 877.76

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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.