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Finding the Fourth Proportional to 710.10, 979.65 and 513.18

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Solution

The fourth proportional to 710.10, 979.65 and 513.18 is: 707.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.10 : 979.65 = 513.18 : x
  2. Step 2: Convert to fraction form
    710.10/979.65 = 513.18/x
  3. Step 3: Cross multiply
    710.10x = 979.65 × 513.18
  4. Step 4: Simplify right side
    710.10x = 502,736.79
  5. Step 5: Solve for x
    x = 502,736.79/710.10
  6. Step 6: Final answer
    x = 707.98

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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.