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Finding the Fourth Proportional to 783.34, 1,175.02 and 609.59

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Solution

The fourth proportional to 783.34, 1,175.02 and 609.59 is: 914.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.34 : 1,175.02 = 609.59 : x
  2. Step 2: Convert to fraction form
    783.34/1,175.02 = 609.59/x
  3. Step 3: Cross multiply
    783.34x = 1,175.02 × 609.59
  4. Step 4: Simplify right side
    783.34x = 716,281.86
  5. Step 5: Solve for x
    x = 716,281.86/783.34
  6. Step 6: Final answer
    x = 914.40

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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.