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Finding the Fourth Proportional to 529.48, 729.03 and 435.93

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Solution

The fourth proportional to 529.48, 729.03 and 435.93 is: 600.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.48 : 729.03 = 435.93 : x
  2. Step 2: Convert to fraction form
    529.48/729.03 = 435.93/x
  3. Step 3: Cross multiply
    529.48x = 729.03 × 435.93
  4. Step 4: Simplify right side
    529.48x = 317,802.40
  5. Step 5: Solve for x
    x = 317,802.40/529.48
  6. Step 6: Final answer
    x = 600.22

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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.