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Finding the Fourth Proportional to 1,312.61, 1,967.54 and 532.30

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Solution

The fourth proportional to 1,312.61, 1,967.54 and 532.30 is: 797.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.61 : 1,967.54 = 532.30 : x
  2. Step 2: Convert to fraction form
    1,312.61/1,967.54 = 532.30/x
  3. Step 3: Cross multiply
    1,312.61x = 1,967.54 × 532.30
  4. Step 4: Simplify right side
    1,312.61x = 1,047,315.11
  5. Step 5: Solve for x
    x = 1,047,315.11/1,312.61
  6. Step 6: Final answer
    x = 797.89

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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.