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Finding the Fourth Proportional to 710.20, 978.06 and 513.40

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Solution

The fourth proportional to 710.20, 978.06 and 513.40 is: 707.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.20 : 978.06 = 513.40 : x
  2. Step 2: Convert to fraction form
    710.20/978.06 = 513.40/x
  3. Step 3: Cross multiply
    710.20x = 978.06 × 513.40
  4. Step 4: Simplify right side
    710.20x = 502,136.00
  5. Step 5: Solve for x
    x = 502,136.00/710.20
  6. Step 6: Final answer
    x = 707.03

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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.