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Finding the Fourth Proportional to 530.88, 729.36 and 510.54

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Solution

The fourth proportional to 530.88, 729.36 and 510.54 is: 701.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.88 : 729.36 = 510.54 : x
  2. Step 2: Convert to fraction form
    530.88/729.36 = 510.54/x
  3. Step 3: Cross multiply
    530.88x = 729.36 × 510.54
  4. Step 4: Simplify right side
    530.88x = 372,367.45
  5. Step 5: Solve for x
    x = 372,367.45/530.88
  6. Step 6: Final answer
    x = 701.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.