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Finding the Fourth Proportional to 975.15, 1,345.64 and 555.50

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Solution

The fourth proportional to 975.15, 1,345.64 and 555.50 is: 766.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.15 : 1,345.64 = 555.50 : x
  2. Step 2: Convert to fraction form
    975.15/1,345.64 = 555.50/x
  3. Step 3: Cross multiply
    975.15x = 1,345.64 × 555.50
  4. Step 4: Simplify right side
    975.15x = 747,503.61
  5. Step 5: Solve for x
    x = 747,503.61/975.15
  6. Step 6: Final answer
    x = 766.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.