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Finding the Fourth Proportional to 710.77, 1,064.80 and 595.96

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Solution

The fourth proportional to 710.77, 1,064.80 and 595.96 is: 892.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.77 : 1,064.80 = 595.96 : x
  2. Step 2: Convert to fraction form
    710.77/1,064.80 = 595.96/x
  3. Step 3: Cross multiply
    710.77x = 1,064.80 × 595.96
  4. Step 4: Simplify right side
    710.77x = 634,578.21
  5. Step 5: Solve for x
    x = 634,578.21/710.77
  6. Step 6: Final answer
    x = 892.80

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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.