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Finding the Fourth Proportional to 988.74, 1,364.88 and 595.69

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Solution

The fourth proportional to 988.74, 1,364.88 and 595.69 is: 822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.74 : 1,364.88 = 595.69 : x
  2. Step 2: Convert to fraction form
    988.74/1,364.88 = 595.69/x
  3. Step 3: Cross multiply
    988.74x = 1,364.88 × 595.69
  4. Step 4: Simplify right side
    988.74x = 813,044.19
  5. Step 5: Solve for x
    x = 813,044.19/988.74
  6. Step 6: Final answer
    x = 822.30

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1.5x scale

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.