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Finding the Fourth Proportional to 515.12, 714.68 and 510.32

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Solution

The fourth proportional to 515.12, 714.68 and 510.32 is: 708.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.12 : 714.68 = 510.32 : x
  2. Step 2: Convert to fraction form
    515.12/714.68 = 510.32/x
  3. Step 3: Cross multiply
    515.12x = 714.68 × 510.32
  4. Step 4: Simplify right side
    515.12x = 364,715.50
  5. Step 5: Solve for x
    x = 364,715.50/515.12
  6. Step 6: Final answer
    x = 708.02

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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.