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Finding the Fourth Proportional to 783.18, 1,175.58 and 577.08

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Solution

The fourth proportional to 783.18, 1,175.58 and 577.08 is: 866.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.18 : 1,175.58 = 577.08 : x
  2. Step 2: Convert to fraction form
    783.18/1,175.58 = 577.08/x
  3. Step 3: Cross multiply
    783.18x = 1,175.58 × 577.08
  4. Step 4: Simplify right side
    783.18x = 678,403.71
  5. Step 5: Solve for x
    x = 678,403.71/783.18
  6. Step 6: Final answer
    x = 866.22

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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.