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Finding the Fourth Proportional to 647.57, 975 and 571.02

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Solution

The fourth proportional to 647.57, 975 and 571.02 is: 859.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.57 : 975 = 571.02 : x
  2. Step 2: Convert to fraction form
    647.57/975 = 571.02/x
  3. Step 3: Cross multiply
    647.57x = 975 × 571.02
  4. Step 4: Simplify right side
    647.57x = 556,744.50
  5. Step 5: Solve for x
    x = 556,744.50/647.57
  6. Step 6: Final answer
    x = 859.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.