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Finding the Fourth Proportional to 710.88, 978.40 and 570.52

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Solution

The fourth proportional to 710.88, 978.40 and 570.52 is: 785.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.88 : 978.40 = 570.52 : x
  2. Step 2: Convert to fraction form
    710.88/978.40 = 570.52/x
  3. Step 3: Cross multiply
    710.88x = 978.40 × 570.52
  4. Step 4: Simplify right side
    710.88x = 558,196.77
  5. Step 5: Solve for x
    x = 558,196.77/710.88
  6. Step 6: Final answer
    x = 785.22

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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.