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Finding the Fourth Proportional to 710.51, 979.62 and 458.01

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Solution

The fourth proportional to 710.51, 979.62 and 458.01 is: 631.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.51 : 979.62 = 458.01 : x
  2. Step 2: Convert to fraction form
    710.51/979.62 = 458.01/x
  3. Step 3: Cross multiply
    710.51x = 979.62 × 458.01
  4. Step 4: Simplify right side
    710.51x = 448,675.76
  5. Step 5: Solve for x
    x = 448,675.76/710.51
  6. Step 6: Final answer
    x = 631.48

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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.