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Finding the Fourth Proportional to 525.90, 729.71 and 510.78

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Solution

The fourth proportional to 525.90, 729.71 and 510.78 is: 708.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.90 : 729.71 = 510.78 : x
  2. Step 2: Convert to fraction form
    525.90/729.71 = 510.78/x
  3. Step 3: Cross multiply
    525.90x = 729.71 × 510.78
  4. Step 4: Simplify right side
    525.90x = 372,718.72
  5. Step 5: Solve for x
    x = 372,718.72/525.90
  6. Step 6: Final answer
    x = 708.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.