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Finding the Fourth Proportional to 897.84, 1,343.16 and 624

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Solution

The fourth proportional to 897.84, 1,343.16 and 624 is: 933.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.84 : 1,343.16 = 624 : x
  2. Step 2: Convert to fraction form
    897.84/1,343.16 = 624/x
  3. Step 3: Cross multiply
    897.84x = 1,343.16 × 624
  4. Step 4: Simplify right side
    897.84x = 838,131.84
  5. Step 5: Solve for x
    x = 838,131.84/897.84
  6. Step 6: Final answer
    x = 933.50

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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.