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Finding the Fourth Proportional to 897.84, 1,345.50 and 623.52

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Solution

The fourth proportional to 897.84, 1,345.50 and 623.52 is: 934.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.84 : 1,345.50 = 623.52 : x
  2. Step 2: Convert to fraction form
    897.84/1,345.50 = 623.52/x
  3. Step 3: Cross multiply
    897.84x = 1,345.50 × 623.52
  4. Step 4: Simplify right side
    897.84x = 838,946.16
  5. Step 5: Solve for x
    x = 838,946.16/897.84
  6. Step 6: Final answer
    x = 934.40

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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.