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Finding the Fourth Proportional to 620.48, 856.23 and 424.04

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Solution

The fourth proportional to 620.48, 856.23 and 424.04 is: 585.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.48 : 856.23 = 424.04 : x
  2. Step 2: Convert to fraction form
    620.48/856.23 = 424.04/x
  3. Step 3: Cross multiply
    620.48x = 856.23 × 424.04
  4. Step 4: Simplify right side
    620.48x = 363,075.77
  5. Step 5: Solve for x
    x = 363,075.77/620.48
  6. Step 6: Final answer
    x = 585.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.