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Finding the Fourth Proportional to 647.04, 972.71 and 526.14

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Solution

The fourth proportional to 647.04, 972.71 and 526.14 is: 790.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.04 : 972.71 = 526.14 : x
  2. Step 2: Convert to fraction form
    647.04/972.71 = 526.14/x
  3. Step 3: Cross multiply
    647.04x = 972.71 × 526.14
  4. Step 4: Simplify right side
    647.04x = 511,779.01
  5. Step 5: Solve for x
    x = 511,779.01/647.04
  6. Step 6: Final answer
    x = 790.95

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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.