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Finding the Fourth Proportional to 646.74, 973.95 and 582.50

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Solution

The fourth proportional to 646.74, 973.95 and 582.50 is: 877.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.74 : 973.95 = 582.50 : x
  2. Step 2: Convert to fraction form
    646.74/973.95 = 582.50/x
  3. Step 3: Cross multiply
    646.74x = 973.95 × 582.50
  4. Step 4: Simplify right side
    646.74x = 567,321.01
  5. Step 5: Solve for x
    x = 567,321.01/646.74
  6. Step 6: Final answer
    x = 877.20

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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.