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Finding the Fourth Proportional to 876.07, 1,312.99 and 465.40

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Solution

The fourth proportional to 876.07, 1,312.99 and 465.40 is: 697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.07 : 1,312.99 = 465.40 : x
  2. Step 2: Convert to fraction form
    876.07/1,312.99 = 465.40/x
  3. Step 3: Cross multiply
    876.07x = 1,312.99 × 465.40
  4. Step 4: Simplify right side
    876.07x = 611,061.10
  5. Step 5: Solve for x
    x = 611,061.10/876.07
  6. Step 6: Final answer
    x = 697.50

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Double scale
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1.5x scale

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.