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Finding the Fourth Proportional to 946.76, 1,306.14 and 614.92

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Solution

The fourth proportional to 946.76, 1,306.14 and 614.92 is: 848.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.76 : 1,306.14 = 614.92 : x
  2. Step 2: Convert to fraction form
    946.76/1,306.14 = 614.92/x
  3. Step 3: Cross multiply
    946.76x = 1,306.14 × 614.92
  4. Step 4: Simplify right side
    946.76x = 803,171.61
  5. Step 5: Solve for x
    x = 803,171.61/946.76
  6. Step 6: Final answer
    x = 848.34

Related Problems

Find fourth proportional to 473.38, 653.07 and 307.46
Half scale
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Double scale
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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.