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Finding the Fourth Proportional to 652.90, 977.02 and 567.25

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Solution

The fourth proportional to 652.90, 977.02 and 567.25 is: 848.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.90 : 977.02 = 567.25 : x
  2. Step 2: Convert to fraction form
    652.90/977.02 = 567.25/x
  3. Step 3: Cross multiply
    652.90x = 977.02 × 567.25
  4. Step 4: Simplify right side
    652.90x = 554,214.60
  5. Step 5: Solve for x
    x = 554,214.60/652.90
  6. Step 6: Final answer
    x = 848.85

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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.