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Finding the Fourth Proportional to 710.19, 1,064.38 and 319.77

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Solution

The fourth proportional to 710.19, 1,064.38 and 319.77 is: 479.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.19 : 1,064.38 = 319.77 : x
  2. Step 2: Convert to fraction form
    710.19/1,064.38 = 319.77/x
  3. Step 3: Cross multiply
    710.19x = 1,064.38 × 319.77
  4. Step 4: Simplify right side
    710.19x = 340,356.79
  5. Step 5: Solve for x
    x = 340,356.79/710.19
  6. Step 6: Final answer
    x = 479.25

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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.