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Finding the Fourth Proportional to 738.96, 1,017.95 and 598.70

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Solution

The fourth proportional to 738.96, 1,017.95 and 598.70 is: 824.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.96 : 1,017.95 = 598.70 : x
  2. Step 2: Convert to fraction form
    738.96/1,017.95 = 598.70/x
  3. Step 3: Cross multiply
    738.96x = 1,017.95 × 598.70
  4. Step 4: Simplify right side
    738.96x = 609,438.58
  5. Step 5: Solve for x
    x = 609,438.58/738.96
  6. Step 6: Final answer
    x = 824.72

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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.