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Finding the Fourth Proportional to 582.31, 876.93 and 525.19

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Solution

The fourth proportional to 582.31, 876.93 and 525.19 is: 790.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.31 : 876.93 = 525.19 : x
  2. Step 2: Convert to fraction form
    582.31/876.93 = 525.19/x
  3. Step 3: Cross multiply
    582.31x = 876.93 × 525.19
  4. Step 4: Simplify right side
    582.31x = 460,556.18
  5. Step 5: Solve for x
    x = 460,556.18/582.31
  6. Step 6: Final answer
    x = 790.91

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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.