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Finding the Fourth Proportional to 652.19, 975.95 and 608.74

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Solution

The fourth proportional to 652.19, 975.95 and 608.74 is: 910.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.19 : 975.95 = 608.74 : x
  2. Step 2: Convert to fraction form
    652.19/975.95 = 608.74/x
  3. Step 3: Cross multiply
    652.19x = 975.95 × 608.74
  4. Step 4: Simplify right side
    652.19x = 594,094.32
  5. Step 5: Solve for x
    x = 594,094.32/652.19
  6. Step 6: Final answer
    x = 910.93

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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.