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Finding the Fourth Proportional to 651.51, 976.04 and 322.07

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Solution

The fourth proportional to 651.51, 976.04 and 322.07 is: 482.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.51 : 976.04 = 322.07 : x
  2. Step 2: Convert to fraction form
    651.51/976.04 = 322.07/x
  3. Step 3: Cross multiply
    651.51x = 976.04 × 322.07
  4. Step 4: Simplify right side
    651.51x = 314,349.76
  5. Step 5: Solve for x
    x = 314,349.76/651.51
  6. Step 6: Final answer
    x = 482.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.