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Finding the Fourth Proportional to 529.88, 730.40 and 424.80

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Solution

The fourth proportional to 529.88, 730.40 and 424.80 is: 585.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.88 : 730.40 = 424.80 : x
  2. Step 2: Convert to fraction form
    529.88/730.40 = 424.80/x
  3. Step 3: Cross multiply
    529.88x = 730.40 × 424.80
  4. Step 4: Simplify right side
    529.88x = 310,271.80
  5. Step 5: Solve for x
    x = 310,271.80/529.88
  6. Step 6: Final answer
    x = 585.56

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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.