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Finding the Fourth Proportional to 947.17, 1,306.50 and 651.93

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Solution

The fourth proportional to 947.17, 1,306.50 and 651.93 is: 899.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.17 : 1,306.50 = 651.93 : x
  2. Step 2: Convert to fraction form
    947.17/1,306.50 = 651.93/x
  3. Step 3: Cross multiply
    947.17x = 1,306.50 × 651.93
  4. Step 4: Simplify right side
    947.17x = 851,746.55
  5. Step 5: Solve for x
    x = 851,746.55/947.17
  6. Step 6: Final answer
    x = 899.25

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1.5x scale

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.