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Finding the Fourth Proportional to 707.15, 1,060.18 and 322.13

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Solution

The fourth proportional to 707.15, 1,060.18 and 322.13 is: 482.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.15 : 1,060.18 = 322.13 : x
  2. Step 2: Convert to fraction form
    707.15/1,060.18 = 322.13/x
  3. Step 3: Cross multiply
    707.15x = 1,060.18 × 322.13
  4. Step 4: Simplify right side
    707.15x = 341,509.68
  5. Step 5: Solve for x
    x = 341,509.68/707.15
  6. Step 6: Final answer
    x = 482.94

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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.