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Finding the Fourth Proportional to 556.55, 833.40 and 465.02

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Solution

The fourth proportional to 556.55, 833.40 and 465.02 is: 696.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.55 : 833.40 = 465.02 : x
  2. Step 2: Convert to fraction form
    556.55/833.40 = 465.02/x
  3. Step 3: Cross multiply
    556.55x = 833.40 × 465.02
  4. Step 4: Simplify right side
    556.55x = 387,543.50
  5. Step 5: Solve for x
    x = 387,543.50/556.55
  6. Step 6: Final answer
    x = 696.34

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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.