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Finding the Fourth Proportional to 928.26, 1,390.16 and 510.77

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Solution

The fourth proportional to 928.26, 1,390.16 and 510.77 is: 764.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.26 : 1,390.16 = 510.77 : x
  2. Step 2: Convert to fraction form
    928.26/1,390.16 = 510.77/x
  3. Step 3: Cross multiply
    928.26x = 1,390.16 × 510.77
  4. Step 4: Simplify right side
    928.26x = 710,056.78
  5. Step 5: Solve for x
    x = 710,056.78/928.26
  6. Step 6: Final answer
    x = 764.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.