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Finding the Fourth Proportional to 647.87, 975.33 and 590.47

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Solution

The fourth proportional to 647.87, 975.33 and 590.47 is: 888.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.87 : 975.33 = 590.47 : x
  2. Step 2: Convert to fraction form
    647.87/975.33 = 590.47/x
  3. Step 3: Cross multiply
    647.87x = 975.33 × 590.47
  4. Step 4: Simplify right side
    647.87x = 575,900.67
  5. Step 5: Solve for x
    x = 575,900.67/647.87
  6. Step 6: Final answer
    x = 888.92

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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.